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Finding the Fourth Proportional to 311,714.40, 430,062.72 and 175,731.36

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Solution

The fourth proportional to 311,714.40, 430,062.72 and 175,731.36 is: 242,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,714.40 : 430,062.72 = 175,731.36 : x
  2. Step 2: Convert to fraction form
    311,714.40/430,062.72 = 175,731.36/x
  3. Step 3: Cross multiply
    311,714.40x = 430,062.72 × 175,731.36
  4. Step 4: Simplify right side
    311,714.40x = 75,575,506,670.90
  5. Step 5: Solve for x
    x = 75,575,506,670.90/311,714.40
  6. Step 6: Final answer
    x = 242,451.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.