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Finding the Fourth Proportional to 520,742.40, 781,113.60 and 146,765.40

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Solution

The fourth proportional to 520,742.40, 781,113.60 and 146,765.40 is: 220,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,742.40 : 781,113.60 = 146,765.40 : x
  2. Step 2: Convert to fraction form
    520,742.40/781,113.60 = 146,765.40/x
  3. Step 3: Cross multiply
    520,742.40x = 781,113.60 × 146,765.40
  4. Step 4: Simplify right side
    520,742.40x = 114,640,449,949.44
  5. Step 5: Solve for x
    x = 114,640,449,949.44/520,742.40
  6. Step 6: Final answer
    x = 220,148.10

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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.