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Finding the Fourth Proportional to 287,452.54, 431,020.10 and 133,410.59

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Solution

The fourth proportional to 287,452.54, 431,020.10 and 133,410.59 is: 200,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,452.54 : 431,020.10 = 133,410.59 : x
  2. Step 2: Convert to fraction form
    287,452.54/431,020.10 = 133,410.59/x
  3. Step 3: Cross multiply
    287,452.54x = 431,020.10 × 133,410.59
  4. Step 4: Simplify right side
    287,452.54x = 57,502,643,020.71
  5. Step 5: Solve for x
    x = 57,502,643,020.71/287,452.54
  6. Step 6: Final answer
    x = 200,042.22

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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.