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Finding the Fourth Proportional to 438,341.40, 657,512.10 and 349,767.90

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Solution

The fourth proportional to 438,341.40, 657,512.10 and 349,767.90 is: 524,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,341.40 : 657,512.10 = 349,767.90 : x
  2. Step 2: Convert to fraction form
    438,341.40/657,512.10 = 349,767.90/x
  3. Step 3: Cross multiply
    438,341.40x = 657,512.10 × 349,767.90
  4. Step 4: Simplify right side
    438,341.40x = 229,976,626,441.59
  5. Step 5: Solve for x
    x = 229,976,626,441.59/438,341.40
  6. Step 6: Final answer
    x = 524,651.85

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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.