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Finding the Fourth Proportional to 498,911.60, 748,464.60 and 199,341.20

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Solution

The fourth proportional to 498,911.60, 748,464.60 and 199,341.20 is: 299,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,911.60 : 748,464.60 = 199,341.20 : x
  2. Step 2: Convert to fraction form
    498,911.60/748,464.60 = 199,341.20/x
  3. Step 3: Cross multiply
    498,911.60x = 748,464.60 × 199,341.20
  4. Step 4: Simplify right side
    498,911.60x = 149,199,831,521.52
  5. Step 5: Solve for x
    x = 149,199,831,521.52/498,911.60
  6. Step 6: Final answer
    x = 299,050.64

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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.