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Finding the Fourth Proportional to 437,937.18, 657,203.85 and 157,482.78

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Solution

The fourth proportional to 437,937.18, 657,203.85 and 157,482.78 is: 236,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,937.18 : 657,203.85 = 157,482.78 : x
  2. Step 2: Convert to fraction form
    437,937.18/657,203.85 = 157,482.78/x
  3. Step 3: Cross multiply
    437,937.18x = 657,203.85 × 157,482.78
  4. Step 4: Simplify right side
    437,937.18x = 103,498,289,324.70
  5. Step 5: Solve for x
    x = 103,498,289,324.70/437,937.18
  6. Step 6: Final answer
    x = 236,331.36

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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.