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Finding the Fourth Proportional to 438,329.80, 657,446.10 and 359,306.20

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Solution

The fourth proportional to 438,329.80, 657,446.10 and 359,306.20 is: 538,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,329.80 : 657,446.10 = 359,306.20 : x
  2. Step 2: Convert to fraction form
    438,329.80/657,446.10 = 359,306.20/x
  3. Step 3: Cross multiply
    438,329.80x = 657,446.10 × 359,306.20
  4. Step 4: Simplify right side
    438,329.80x = 236,224,459,895.82
  5. Step 5: Solve for x
    x = 236,224,459,895.82/438,329.80
  6. Step 6: Final answer
    x = 538,919.46

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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.