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Finding the Fourth Proportional to 880,005, 1,214,406.90 and 477,597

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Solution

The fourth proportional to 880,005, 1,214,406.90 and 477,597 is: 659,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,005 : 1,214,406.90 = 477,597 : x
  2. Step 2: Convert to fraction form
    880,005/1,214,406.90 = 477,597/x
  3. Step 3: Cross multiply
    880,005x = 1,214,406.90 × 477,597
  4. Step 4: Simplify right side
    880,005x = 579,997,092,219.30
  5. Step 5: Solve for x
    x = 579,997,092,219.30/880,005
  6. Step 6: Final answer
    x = 659,083.86

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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.