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Finding the Fourth Proportional to 288,658.46, 430,873.91 and 254,570.78

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Solution

The fourth proportional to 288,658.46, 430,873.91 and 254,570.78 is: 379,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,658.46 : 430,873.91 = 254,570.78 : x
  2. Step 2: Convert to fraction form
    288,658.46/430,873.91 = 254,570.78/x
  3. Step 3: Cross multiply
    288,658.46x = 430,873.91 × 254,570.78
  4. Step 4: Simplify right side
    288,658.46x = 109,687,903,923.13
  5. Step 5: Solve for x
    x = 109,687,903,923.13/288,658.46
  6. Step 6: Final answer
    x = 379,992.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.