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Finding the Fourth Proportional to 438,417.24, 657,230.94 and 157,737

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Solution

The fourth proportional to 438,417.24, 657,230.94 and 157,737 is: 236,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,417.24 : 657,230.94 = 157,737 : x
  2. Step 2: Convert to fraction form
    438,417.24/657,230.94 = 157,737/x
  3. Step 3: Cross multiply
    438,417.24x = 657,230.94 × 157,737
  4. Step 4: Simplify right side
    438,417.24x = 103,669,636,782.78
  5. Step 5: Solve for x
    x = 103,669,636,782.78/438,417.24
  6. Step 6: Final answer
    x = 236,463.41

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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.