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Finding the Fourth Proportional to 517,701.90, 714,289.14 and 302,894.76

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Solution

The fourth proportional to 517,701.90, 714,289.14 and 302,894.76 is: 417,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,701.90 : 714,289.14 = 302,894.76 : x
  2. Step 2: Convert to fraction form
    517,701.90/714,289.14 = 302,894.76/x
  3. Step 3: Cross multiply
    517,701.90x = 714,289.14 × 302,894.76
  4. Step 4: Simplify right side
    517,701.90x = 216,354,437,630.91
  5. Step 5: Solve for x
    x = 216,354,437,630.91/517,701.90
  6. Step 6: Final answer
    x = 417,913.16

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.