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Finding the Fourth Proportional to 458,389.76, 687,617.76 and 191,882.24

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Solution

The fourth proportional to 458,389.76, 687,617.76 and 191,882.24 is: 287,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,389.76 : 687,617.76 = 191,882.24 : x
  2. Step 2: Convert to fraction form
    458,389.76/687,617.76 = 191,882.24/x
  3. Step 3: Cross multiply
    458,389.76x = 687,617.76 × 191,882.24
  4. Step 4: Simplify right side
    458,389.76x = 131,941,636,052.58
  5. Step 5: Solve for x
    x = 131,941,636,052.58/458,389.76
  6. Step 6: Final answer
    x = 287,837.22

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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.