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Finding the Fourth Proportional to 521,532.65, 782,172.54 and 142,455.16

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Solution

The fourth proportional to 521,532.65, 782,172.54 and 142,455.16 is: 213,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,532.65 : 782,172.54 = 142,455.16 : x
  2. Step 2: Convert to fraction form
    521,532.65/782,172.54 = 142,455.16/x
  3. Step 3: Cross multiply
    521,532.65x = 782,172.54 × 142,455.16
  4. Step 4: Simplify right side
    521,532.65x = 111,424,514,333.31
  5. Step 5: Solve for x
    x = 111,424,514,333.31/521,532.65
  6. Step 6: Final answer
    x = 213,648.20

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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.