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Finding the Fourth Proportional to 511,433.94, 767,123.29 and 156,448

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Solution

The fourth proportional to 511,433.94, 767,123.29 and 156,448 is: 234,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,433.94 : 767,123.29 = 156,448 : x
  2. Step 2: Convert to fraction form
    511,433.94/767,123.29 = 156,448/x
  3. Step 3: Cross multiply
    511,433.94x = 767,123.29 × 156,448
  4. Step 4: Simplify right side
    511,433.94x = 120,014,904,473.92
  5. Step 5: Solve for x
    x = 120,014,904,473.92/511,433.94
  6. Step 6: Final answer
    x = 234,663.55

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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.