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Finding the Fourth Proportional to 498,315.40, 747,473.10 and 348,724.60

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Solution

The fourth proportional to 498,315.40, 747,473.10 and 348,724.60 is: 523,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,315.40 : 747,473.10 = 348,724.60 : x
  2. Step 2: Convert to fraction form
    498,315.40/747,473.10 = 348,724.60/x
  3. Step 3: Cross multiply
    498,315.40x = 747,473.10 × 348,724.60
  4. Step 4: Simplify right side
    498,315.40x = 260,662,257,808.26
  5. Step 5: Solve for x
    x = 260,662,257,808.26/498,315.40
  6. Step 6: Final answer
    x = 523,086.90

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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.