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Finding the Fourth Proportional to 498,201.66, 747,298.17 and 143,214.30

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Solution

The fourth proportional to 498,201.66, 747,298.17 and 143,214.30 is: 214,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,201.66 : 747,298.17 = 143,214.30 : x
  2. Step 2: Convert to fraction form
    498,201.66/747,298.17 = 143,214.30/x
  3. Step 3: Cross multiply
    498,201.66x = 747,298.17 × 143,214.30
  4. Step 4: Simplify right side
    498,201.66x = 107,023,784,307.83
  5. Step 5: Solve for x
    x = 107,023,784,307.83/498,201.66
  6. Step 6: Final answer
    x = 214,820.21

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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.