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Finding the Fourth Proportional to 415,432.70, 623,116.65 and 162,664.10

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Solution

The fourth proportional to 415,432.70, 623,116.65 and 162,664.10 is: 243,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,432.70 : 623,116.65 = 162,664.10 : x
  2. Step 2: Convert to fraction form
    415,432.70/623,116.65 = 162,664.10/x
  3. Step 3: Cross multiply
    415,432.70x = 623,116.65 × 162,664.10
  4. Step 4: Simplify right side
    415,432.70x = 101,358,709,067.27
  5. Step 5: Solve for x
    x = 101,358,709,067.27/415,432.70
  6. Step 6: Final answer
    x = 243,983.46

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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.