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Finding the Fourth Proportional to 511,381.20, 767,071.53 and 156,395.28

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Solution

The fourth proportional to 511,381.20, 767,071.53 and 156,395.28 is: 234,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,381.20 : 767,071.53 = 156,395.28 : x
  2. Step 2: Convert to fraction form
    511,381.20/767,071.53 = 156,395.28/x
  3. Step 3: Cross multiply
    511,381.20x = 767,071.53 × 156,395.28
  4. Step 4: Simplify right side
    511,381.20x = 119,966,366,714.38
  5. Step 5: Solve for x
    x = 119,966,366,714.38/511,381.20
  6. Step 6: Final answer
    x = 234,592.84

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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.