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Finding the Fourth Proportional to 656,988.50, 906,644.14 and 355,182.50

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Solution

The fourth proportional to 656,988.50, 906,644.14 and 355,182.50 is: 490,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,988.50 : 906,644.14 = 355,182.50 : x
  2. Step 2: Convert to fraction form
    656,988.50/906,644.14 = 355,182.50/x
  3. Step 3: Cross multiply
    656,988.50x = 906,644.14 × 355,182.50
  4. Step 4: Simplify right side
    656,988.50x = 322,024,132,255.55
  5. Step 5: Solve for x
    x = 322,024,132,255.55/656,988.50
  6. Step 6: Final answer
    x = 490,151.86

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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.