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Finding the Fourth Proportional to 457,640.70, 686,525.85 and 142,064.70

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Solution

The fourth proportional to 457,640.70, 686,525.85 and 142,064.70 is: 213,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,640.70 : 686,525.85 = 142,064.70 : x
  2. Step 2: Convert to fraction form
    457,640.70/686,525.85 = 142,064.70/x
  3. Step 3: Cross multiply
    457,640.70x = 686,525.85 × 142,064.70
  4. Step 4: Simplify right side
    457,640.70x = 97,531,088,922.50
  5. Step 5: Solve for x
    x = 97,531,088,922.50/457,640.70
  6. Step 6: Final answer
    x = 213,117.17

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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.