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Finding the Fourth Proportional to 398,001.20, 597,001.80 and 256,283.60

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Solution

The fourth proportional to 398,001.20, 597,001.80 and 256,283.60 is: 384,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,001.20 : 597,001.80 = 256,283.60 : x
  2. Step 2: Convert to fraction form
    398,001.20/597,001.80 = 256,283.60/x
  3. Step 3: Cross multiply
    398,001.20x = 597,001.80 × 256,283.60
  4. Step 4: Simplify right side
    398,001.20x = 153,001,770,510.48
  5. Step 5: Solve for x
    x = 153,001,770,510.48/398,001.20
  6. Step 6: Final answer
    x = 384,425.40

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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.