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Finding the Fourth Proportional to 522,085.70, 781,378.95 and 459,100.10

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Solution

The fourth proportional to 522,085.70, 781,378.95 and 459,100.10 is: 687,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,085.70 : 781,378.95 = 459,100.10 : x
  2. Step 2: Convert to fraction form
    522,085.70/781,378.95 = 459,100.10/x
  3. Step 3: Cross multiply
    522,085.70x = 781,378.95 × 459,100.10
  4. Step 4: Simplify right side
    522,085.70x = 358,731,154,082.90
  5. Step 5: Solve for x
    x = 358,731,154,082.90/522,085.70
  6. Step 6: Final answer
    x = 687,111.63

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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.