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Finding the Fourth Proportional to 522,085.70, 781,573.35 and 311,615.30

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Solution

The fourth proportional to 522,085.70, 781,573.35 and 311,615.30 is: 466,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,085.70 : 781,573.35 = 311,615.30 : x
  2. Step 2: Convert to fraction form
    522,085.70/781,573.35 = 311,615.30/x
  3. Step 3: Cross multiply
    522,085.70x = 781,573.35 × 311,615.30
  4. Step 4: Simplify right side
    522,085.70x = 243,550,213,932.26
  5. Step 5: Solve for x
    x = 243,550,213,932.26/522,085.70
  6. Step 6: Final answer
    x = 466,494.70

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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.