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Finding the Fourth Proportional to 457,999.70, 687,064.35 and 142,423.70

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Solution

The fourth proportional to 457,999.70, 687,064.35 and 142,423.70 is: 213,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,999.70 : 687,064.35 = 142,423.70 : x
  2. Step 2: Convert to fraction form
    457,999.70/687,064.35 = 142,423.70/x
  3. Step 3: Cross multiply
    457,999.70x = 687,064.35 × 142,423.70
  4. Step 4: Simplify right side
    457,999.70x = 97,854,246,865.10
  5. Step 5: Solve for x
    x = 97,854,246,865.10/457,999.70
  6. Step 6: Final answer
    x = 213,655.70

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1.5x scale

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.