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Finding the Fourth Proportional to 438,311.05, 657,532.31 and 153,951.47

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Solution

The fourth proportional to 438,311.05, 657,532.31 and 153,951.47 is: 230,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,311.05 : 657,532.31 = 153,951.47 : x
  2. Step 2: Convert to fraction form
    438,311.05/657,532.31 = 153,951.47/x
  3. Step 3: Cross multiply
    438,311.05x = 657,532.31 × 153,951.47
  4. Step 4: Simplify right side
    438,311.05x = 101,228,064,538.31
  5. Step 5: Solve for x
    x = 101,228,064,538.31/438,311.05
  6. Step 6: Final answer
    x = 230,950.29

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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.