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Finding the Fourth Proportional to 458,867.95, 688,315.50 and 219,007.13

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Solution

The fourth proportional to 458,867.95, 688,315.50 and 219,007.13 is: 328,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,867.95 : 688,315.50 = 219,007.13 : x
  2. Step 2: Convert to fraction form
    458,867.95/688,315.50 = 219,007.13/x
  3. Step 3: Cross multiply
    458,867.95x = 688,315.50 × 219,007.13
  4. Step 4: Simplify right side
    458,867.95x = 150,746,002,189.52
  5. Step 5: Solve for x
    x = 150,746,002,189.52/458,867.95
  6. Step 6: Final answer
    x = 328,517.17

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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.