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Finding the Fourth Proportional to 872,514, 1,308,787.40 and 273,461.92

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Solution

The fourth proportional to 872,514, 1,308,787.40 and 273,461.92 is: 410,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,514 : 1,308,787.40 = 273,461.92 : x
  2. Step 2: Convert to fraction form
    872,514/1,308,787.40 = 273,461.92/x
  3. Step 3: Cross multiply
    872,514x = 1,308,787.40 × 273,461.92
  4. Step 4: Simplify right side
    872,514x = 357,903,515,275.81
  5. Step 5: Solve for x
    x = 357,903,515,275.81/872,514
  6. Step 6: Final answer
    x = 410,198.02

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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.