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Finding the Fourth Proportional to 462,091.16, 691,559.66 and 387,295.76

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Solution

The fourth proportional to 462,091.16, 691,559.66 and 387,295.76 is: 579,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,091.16 : 691,559.66 = 387,295.76 : x
  2. Step 2: Convert to fraction form
    462,091.16/691,559.66 = 387,295.76/x
  3. Step 3: Cross multiply
    462,091.16x = 691,559.66 × 387,295.76
  4. Step 4: Simplify right side
    462,091.16x = 267,838,124,105.04
  5. Step 5: Solve for x
    x = 267,838,124,105.04/462,091.16
  6. Step 6: Final answer
    x = 579,621.83

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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.