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Finding the Fourth Proportional to 398,541.40, 597,005.70 and 248,320.60

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Solution

The fourth proportional to 398,541.40, 597,005.70 and 248,320.60 is: 371,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,541.40 : 597,005.70 = 248,320.60 : x
  2. Step 2: Convert to fraction form
    398,541.40/597,005.70 = 248,320.60/x
  3. Step 3: Cross multiply
    398,541.40x = 597,005.70 × 248,320.60
  4. Step 4: Simplify right side
    398,541.40x = 148,248,813,627.42
  5. Step 5: Solve for x
    x = 148,248,813,627.42/398,541.40
  6. Step 6: Final answer
    x = 371,978.45

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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.