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Finding the Fourth Proportional to 457,812.60, 686,823.30 and 142,301.40

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Solution

The fourth proportional to 457,812.60, 686,823.30 and 142,301.40 is: 213,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812.60 : 686,823.30 = 142,301.40 : x
  2. Step 2: Convert to fraction form
    457,812.60/686,823.30 = 142,301.40/x
  3. Step 3: Cross multiply
    457,812.60x = 686,823.30 × 142,301.40
  4. Step 4: Simplify right side
    457,812.60x = 97,735,917,142.62
  5. Step 5: Solve for x
    x = 97,735,917,142.62/457,812.60
  6. Step 6: Final answer
    x = 213,484.55

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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.