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Finding the Fourth Proportional to 457,900.48, 686,847.36 and 142,356.80

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Solution

The fourth proportional to 457,900.48, 686,847.36 and 142,356.80 is: 213,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,900.48 : 686,847.36 = 142,356.80 : x
  2. Step 2: Convert to fraction form
    457,900.48/686,847.36 = 142,356.80/x
  3. Step 3: Cross multiply
    457,900.48x = 686,847.36 × 142,356.80
  4. Step 4: Simplify right side
    457,900.48x = 97,777,392,258.05
  5. Step 5: Solve for x
    x = 97,777,392,258.05/457,900.48
  6. Step 6: Final answer
    x = 213,534.16

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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.