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Finding the Fourth Proportional to 541,407.60, 811,953.72 and 162,313.20

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Solution

The fourth proportional to 541,407.60, 811,953.72 and 162,313.20 is: 243,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,407.60 : 811,953.72 = 162,313.20 : x
  2. Step 2: Convert to fraction form
    541,407.60/811,953.72 = 162,313.20/x
  3. Step 3: Cross multiply
    541,407.60x = 811,953.72 × 162,313.20
  4. Step 4: Simplify right side
    541,407.60x = 131,790,806,545.10
  5. Step 5: Solve for x
    x = 131,790,806,545.10/541,407.60
  6. Step 6: Final answer
    x = 243,422.53

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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.