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Finding the Fourth Proportional to 498,315.60, 747,546.30 and 161,298.90

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Solution

The fourth proportional to 498,315.60, 747,546.30 and 161,298.90 is: 241,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,315.60 : 747,546.30 = 161,298.90 : x
  2. Step 2: Convert to fraction form
    498,315.60/747,546.30 = 161,298.90/x
  3. Step 3: Cross multiply
    498,315.60x = 747,546.30 × 161,298.90
  4. Step 4: Simplify right side
    498,315.60x = 120,578,395,889.07
  5. Step 5: Solve for x
    x = 120,578,395,889.07/498,315.60
  6. Step 6: Final answer
    x = 241,971.95

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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.