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Finding the Fourth Proportional to 457,966.40, 687,000.80 and 142,420.80

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Solution

The fourth proportional to 457,966.40, 687,000.80 and 142,420.80 is: 213,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,966.40 : 687,000.80 = 142,420.80 : x
  2. Step 2: Convert to fraction form
    457,966.40/687,000.80 = 142,420.80/x
  3. Step 3: Cross multiply
    457,966.40x = 687,000.80 × 142,420.80
  4. Step 4: Simplify right side
    457,966.40x = 97,843,203,536.64
  5. Step 5: Solve for x
    x = 97,843,203,536.64/457,966.40
  6. Step 6: Final answer
    x = 213,647.12

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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.