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Finding the Fourth Proportional to 542,409.40, 813,743.70 and 261,695.80

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Solution

The fourth proportional to 542,409.40, 813,743.70 and 261,695.80 is: 392,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,409.40 : 813,743.70 = 261,695.80 : x
  2. Step 2: Convert to fraction form
    542,409.40/813,743.70 = 261,695.80/x
  3. Step 3: Cross multiply
    542,409.40x = 813,743.70 × 261,695.80
  4. Step 4: Simplify right side
    542,409.40x = 212,953,308,566.46
  5. Step 5: Solve for x
    x = 212,953,308,566.46/542,409.40
  6. Step 6: Final answer
    x = 392,606.23

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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.