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Finding the Fourth Proportional to 498,528.60, 747,647.10 and 178,643.40

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Solution

The fourth proportional to 498,528.60, 747,647.10 and 178,643.40 is: 267,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528.60 : 747,647.10 = 178,643.40 : x
  2. Step 2: Convert to fraction form
    498,528.60/747,647.10 = 178,643.40/x
  3. Step 3: Cross multiply
    498,528.60x = 747,647.10 × 178,643.40
  4. Step 4: Simplify right side
    498,528.60x = 133,562,219,944.14
  5. Step 5: Solve for x
    x = 133,562,219,944.14/498,528.60
  6. Step 6: Final answer
    x = 267,912.85

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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.