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Finding the Fourth Proportional to 412,854.41, 619,132.99 and 142,909.21

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Solution

The fourth proportional to 412,854.41, 619,132.99 and 142,909.21 is: 214,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,854.41 : 619,132.99 = 142,909.21 : x
  2. Step 2: Convert to fraction form
    412,854.41/619,132.99 = 142,909.21/x
  3. Step 3: Cross multiply
    412,854.41x = 619,132.99 × 142,909.21
  4. Step 4: Simplify right side
    412,854.41x = 88,479,803,687.81
  5. Step 5: Solve for x
    x = 88,479,803,687.81/412,854.41
  6. Step 6: Final answer
    x = 214,312.36

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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.