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Finding the Fourth Proportional to 557,615.32, 769,516.14 and 302,970.76

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Solution

The fourth proportional to 557,615.32, 769,516.14 and 302,970.76 is: 418,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,615.32 : 769,516.14 = 302,970.76 : x
  2. Step 2: Convert to fraction form
    557,615.32/769,516.14 = 302,970.76/x
  3. Step 3: Cross multiply
    557,615.32x = 769,516.14 × 302,970.76
  4. Step 4: Simplify right side
    557,615.32x = 233,140,889,768.07
  5. Step 5: Solve for x
    x = 233,140,889,768.07/557,615.32
  6. Step 6: Final answer
    x = 418,103.45

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Double scale
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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.