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Finding the Fourth Proportional to 253,001.16, 378,714.42 and 159,310.08

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Solution

The fourth proportional to 253,001.16, 378,714.42 and 159,310.08 is: 238,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,001.16 : 378,714.42 = 159,310.08 : x
  2. Step 2: Convert to fraction form
    253,001.16/378,714.42 = 159,310.08/x
  3. Step 3: Cross multiply
    253,001.16x = 378,714.42 × 159,310.08
  4. Step 4: Simplify right side
    253,001.16x = 60,333,024,547.35
  5. Step 5: Solve for x
    x = 60,333,024,547.35/253,001.16
  6. Step 6: Final answer
    x = 238,469.36

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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.