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Finding the Fourth Proportional to 752,661.84, 1,038,676.68 and 413,132.88

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Solution

The fourth proportional to 752,661.84, 1,038,676.68 and 413,132.88 is: 570,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,661.84 : 1,038,676.68 = 413,132.88 : x
  2. Step 2: Convert to fraction form
    752,661.84/1,038,676.68 = 413,132.88/x
  3. Step 3: Cross multiply
    752,661.84x = 1,038,676.68 × 413,132.88
  4. Step 4: Simplify right side
    752,661.84x = 429,111,488,197.24
  5. Step 5: Solve for x
    x = 429,111,488,197.24/752,661.84
  6. Step 6: Final answer
    x = 570,125.21

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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.