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Finding the Fourth Proportional to 829,474.38, 1,242,218.70 and 473,409

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Solution

The fourth proportional to 829,474.38, 1,242,218.70 and 473,409 is: 708,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,474.38 : 1,242,218.70 = 473,409 : x
  2. Step 2: Convert to fraction form
    829,474.38/1,242,218.70 = 473,409/x
  3. Step 3: Cross multiply
    829,474.38x = 1,242,218.70 × 473,409
  4. Step 4: Simplify right side
    829,474.38x = 588,077,512,548.30
  5. Step 5: Solve for x
    x = 588,077,512,548.30/829,474.38
  6. Step 6: Final answer
    x = 708,976.10

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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.