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Finding the Fourth Proportional to 398,076.40, 597,114.60 and 240,612.40

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Solution

The fourth proportional to 398,076.40, 597,114.60 and 240,612.40 is: 360,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,076.40 : 597,114.60 = 240,612.40 : x
  2. Step 2: Convert to fraction form
    398,076.40/597,114.60 = 240,612.40/x
  3. Step 3: Cross multiply
    398,076.40x = 597,114.60 × 240,612.40
  4. Step 4: Simplify right side
    398,076.40x = 143,673,176,981.04
  5. Step 5: Solve for x
    x = 143,673,176,981.04/398,076.40
  6. Step 6: Final answer
    x = 360,918.60

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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.