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Finding the Fourth Proportional to 457,630.80, 686,575.80 and 142,119.60

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Solution

The fourth proportional to 457,630.80, 686,575.80 and 142,119.60 is: 213,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,630.80 : 686,575.80 = 142,119.60 : x
  2. Step 2: Convert to fraction form
    457,630.80/686,575.80 = 142,119.60/x
  3. Step 3: Cross multiply
    457,630.80x = 686,575.80 × 142,119.60
  4. Step 4: Simplify right side
    457,630.80x = 97,575,878,065.68
  5. Step 5: Solve for x
    x = 97,575,878,065.68/457,630.80
  6. Step 6: Final answer
    x = 213,219.65

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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.