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Finding the Fourth Proportional to 499,734.76, 749,079.90 and 219,015.40

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Solution

The fourth proportional to 499,734.76, 749,079.90 and 219,015.40 is: 328,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,734.76 : 749,079.90 = 219,015.40 : x
  2. Step 2: Convert to fraction form
    499,734.76/749,079.90 = 219,015.40/x
  3. Step 3: Cross multiply
    499,734.76x = 749,079.90 × 219,015.40
  4. Step 4: Simplify right side
    499,734.76x = 164,060,033,930.46
  5. Step 5: Solve for x
    x = 164,060,033,930.46/499,734.76
  6. Step 6: Final answer
    x = 328,294.22

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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.