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Finding the Fourth Proportional to 398,468.40, 597,702.60 and 240,615.60

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Solution

The fourth proportional to 398,468.40, 597,702.60 and 240,615.60 is: 360,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,468.40 : 597,702.60 = 240,615.60 : x
  2. Step 2: Convert to fraction form
    398,468.40/597,702.60 = 240,615.60/x
  3. Step 3: Cross multiply
    398,468.40x = 597,702.60 × 240,615.60
  4. Step 4: Simplify right side
    398,468.40x = 143,816,569,720.56
  5. Step 5: Solve for x
    x = 143,816,569,720.56/398,468.40
  6. Step 6: Final answer
    x = 360,923.40

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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.