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Finding the Fourth Proportional to 825,126, 1,138,673.88 and 467,430

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Solution

The fourth proportional to 825,126, 1,138,673.88 and 467,430 is: 645,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,126 : 1,138,673.88 = 467,430 : x
  2. Step 2: Convert to fraction form
    825,126/1,138,673.88 = 467,430/x
  3. Step 3: Cross multiply
    825,126x = 1,138,673.88 × 467,430
  4. Step 4: Simplify right side
    825,126x = 532,250,331,728.40
  5. Step 5: Solve for x
    x = 532,250,331,728.40/825,126
  6. Step 6: Final answer
    x = 645,053.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.