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Finding the Fourth Proportional to 521,533.65, 782,174.04 and 142,456.16

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Solution

The fourth proportional to 521,533.65, 782,174.04 and 142,456.16 is: 213,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,533.65 : 782,174.04 = 142,456.16 : x
  2. Step 2: Convert to fraction form
    521,533.65/782,174.04 = 142,456.16/x
  3. Step 3: Cross multiply
    521,533.65x = 782,174.04 × 142,456.16
  4. Step 4: Simplify right side
    521,533.65x = 111,425,510,190.09
  5. Step 5: Solve for x
    x = 111,425,510,190.09/521,533.65
  6. Step 6: Final answer
    x = 213,649.70

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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.