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Finding the Fourth Proportional to 287,914.80, 432,001.80 and 138,097.20

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Solution

The fourth proportional to 287,914.80, 432,001.80 and 138,097.20 is: 207,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,914.80 : 432,001.80 = 138,097.20 : x
  2. Step 2: Convert to fraction form
    287,914.80/432,001.80 = 138,097.20/x
  3. Step 3: Cross multiply
    287,914.80x = 432,001.80 × 138,097.20
  4. Step 4: Simplify right side
    287,914.80x = 59,658,238,974.96
  5. Step 5: Solve for x
    x = 59,658,238,974.96/287,914.80
  6. Step 6: Final answer
    x = 207,207.96

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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.