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Finding the Fourth Proportional to 438,209.34, 657,501.66 and 138,714.30

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Solution

The fourth proportional to 438,209.34, 657,501.66 and 138,714.30 is: 208,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,209.34 : 657,501.66 = 138,714.30 : x
  2. Step 2: Convert to fraction form
    438,209.34/657,501.66 = 138,714.30/x
  3. Step 3: Cross multiply
    438,209.34x = 657,501.66 × 138,714.30
  4. Step 4: Simplify right side
    438,209.34x = 91,204,882,515.74
  5. Step 5: Solve for x
    x = 91,204,882,515.74/438,209.34
  6. Step 6: Final answer
    x = 208,130.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.