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Finding the Fourth Proportional to 457,698.80, 686,677.80 and 142,187.60

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Solution

The fourth proportional to 457,698.80, 686,677.80 and 142,187.60 is: 213,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,698.80 : 686,677.80 = 142,187.60 : x
  2. Step 2: Convert to fraction form
    457,698.80/686,677.80 = 142,187.60/x
  3. Step 3: Cross multiply
    457,698.80x = 686,677.80 × 142,187.60
  4. Step 4: Simplify right side
    457,698.80x = 97,637,068,355.28
  5. Step 5: Solve for x
    x = 97,637,068,355.28/457,698.80
  6. Step 6: Final answer
    x = 213,321.66

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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.