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Finding the Fourth Proportional to 522,145.70, 781,663.35 and 311,675.30

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Solution

The fourth proportional to 522,145.70, 781,663.35 and 311,675.30 is: 466,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,145.70 : 781,663.35 = 311,675.30 : x
  2. Step 2: Convert to fraction form
    522,145.70/781,663.35 = 311,675.30/x
  3. Step 3: Cross multiply
    522,145.70x = 781,663.35 × 311,675.30
  4. Step 4: Simplify right side
    522,145.70x = 243,625,159,110.26
  5. Step 5: Solve for x
    x = 243,625,159,110.26/522,145.70
  6. Step 6: Final answer
    x = 466,584.63

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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.