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Finding the Fourth Proportional to 477,678.12, 714,749.82 and 288,248.04

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Solution

The fourth proportional to 477,678.12, 714,749.82 and 288,248.04 is: 431,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,678.12 : 714,749.82 = 288,248.04 : x
  2. Step 2: Convert to fraction form
    477,678.12/714,749.82 = 288,248.04/x
  3. Step 3: Cross multiply
    477,678.12x = 714,749.82 × 288,248.04
  4. Step 4: Simplify right side
    477,678.12x = 206,025,234,705.35
  5. Step 5: Solve for x
    x = 206,025,234,705.35/477,678.12
  6. Step 6: Final answer
    x = 431,305.57

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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.