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Finding the Fourth Proportional to 288,737, 433,098.20 and 78,369.48

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Solution

The fourth proportional to 288,737, 433,098.20 and 78,369.48 is: 117,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,737 : 433,098.20 = 78,369.48 : x
  2. Step 2: Convert to fraction form
    288,737/433,098.20 = 78,369.48/x
  3. Step 3: Cross multiply
    288,737x = 433,098.20 × 78,369.48
  4. Step 4: Simplify right side
    288,737x = 33,941,680,722.94
  5. Step 5: Solve for x
    x = 33,941,680,722.94/288,737
  6. Step 6: Final answer
    x = 117,552.24

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1.5x scale

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.