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Finding the Fourth Proportional to 477,155.10, 714,765.92 and 220,623.10

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Solution

The fourth proportional to 477,155.10, 714,765.92 and 220,623.10 is: 330,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,155.10 : 714,765.92 = 220,623.10 : x
  2. Step 2: Convert to fraction form
    477,155.10/714,765.92 = 220,623.10/x
  3. Step 3: Cross multiply
    477,155.10x = 714,765.92 × 220,623.10
  4. Step 4: Simplify right side
    477,155.10x = 157,693,873,044.75
  5. Step 5: Solve for x
    x = 157,693,873,044.75/477,155.10
  6. Step 6: Final answer
    x = 330,487.66

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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.