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Finding the Fourth Proportional to 462,085.16, 691,550.66 and 387,289.76

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Solution

The fourth proportional to 462,085.16, 691,550.66 and 387,289.76 is: 579,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,085.16 : 691,550.66 = 387,289.76 : x
  2. Step 2: Convert to fraction form
    462,085.16/691,550.66 = 387,289.76/x
  3. Step 3: Cross multiply
    462,085.16x = 691,550.66 × 387,289.76
  4. Step 4: Simplify right side
    462,085.16x = 267,830,486,649.71
  5. Step 5: Solve for x
    x = 267,830,486,649.71/462,085.16
  6. Step 6: Final answer
    x = 579,612.83

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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.