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Finding the Fourth Proportional to 390,851.20, 586,276.80 and 255,548.80

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Solution

The fourth proportional to 390,851.20, 586,276.80 and 255,548.80 is: 383,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,851.20 : 586,276.80 = 255,548.80 : x
  2. Step 2: Convert to fraction form
    390,851.20/586,276.80 = 255,548.80/x
  3. Step 3: Cross multiply
    390,851.20x = 586,276.80 × 255,548.80
  4. Step 4: Simplify right side
    390,851.20x = 149,822,332,707.84
  5. Step 5: Solve for x
    x = 149,822,332,707.84/390,851.20
  6. Step 6: Final answer
    x = 383,323.20

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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.