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Finding the Fourth Proportional to 457,906.48, 686,856.36 and 142,362.80

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Solution

The fourth proportional to 457,906.48, 686,856.36 and 142,362.80 is: 213,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,906.48 : 686,856.36 = 142,362.80 : x
  2. Step 2: Convert to fraction form
    457,906.48/686,856.36 = 142,362.80/x
  3. Step 3: Cross multiply
    457,906.48x = 686,856.36 × 142,362.80
  4. Step 4: Simplify right side
    457,906.48x = 97,782,794,607.41
  5. Step 5: Solve for x
    x = 97,782,794,607.41/457,906.48
  6. Step 6: Final answer
    x = 213,543.16

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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.