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Finding the Fourth Proportional to 476,158.71, 657,117.98 and 261,306.47

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Solution

The fourth proportional to 476,158.71, 657,117.98 and 261,306.47 is: 360,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,158.71 : 657,117.98 = 261,306.47 : x
  2. Step 2: Convert to fraction form
    476,158.71/657,117.98 = 261,306.47/x
  3. Step 3: Cross multiply
    476,158.71x = 657,117.98 × 261,306.47
  4. Step 4: Simplify right side
    476,158.71x = 171,709,175,135.21
  5. Step 5: Solve for x
    x = 171,709,175,135.21/476,158.71
  6. Step 6: Final answer
    x = 360,613.32

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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.