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Finding the Fourth Proportional to 825,128, 1,138,676.64 and 467,432

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Solution

The fourth proportional to 825,128, 1,138,676.64 and 467,432 is: 645,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,128 : 1,138,676.64 = 467,432 : x
  2. Step 2: Convert to fraction form
    825,128/1,138,676.64 = 467,432/x
  3. Step 3: Cross multiply
    825,128x = 1,138,676.64 × 467,432
  4. Step 4: Simplify right side
    825,128x = 532,253,899,188.48
  5. Step 5: Solve for x
    x = 532,253,899,188.48/825,128
  6. Step 6: Final answer
    x = 645,056.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.