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Finding the Fourth Proportional to 517,690.26, 714,361.59 and 302,788.35

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Solution

The fourth proportional to 517,690.26, 714,361.59 and 302,788.35 is: 417,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,690.26 : 714,361.59 = 302,788.35 : x
  2. Step 2: Convert to fraction form
    517,690.26/714,361.59 = 302,788.35/x
  3. Step 3: Cross multiply
    517,690.26x = 714,361.59 × 302,788.35
  4. Step 4: Simplify right side
    517,690.26x = 216,300,367,139.48
  5. Step 5: Solve for x
    x = 216,300,367,139.48/517,690.26
  6. Step 6: Final answer
    x = 417,818.11

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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.