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Finding the Fourth Proportional to 408,872.40, 613,308.60 and 390,501.60

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Solution

The fourth proportional to 408,872.40, 613,308.60 and 390,501.60 is: 585,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,872.40 : 613,308.60 = 390,501.60 : x
  2. Step 2: Convert to fraction form
    408,872.40/613,308.60 = 390,501.60/x
  3. Step 3: Cross multiply
    408,872.40x = 613,308.60 × 390,501.60
  4. Step 4: Simplify right side
    408,872.40x = 239,497,989,593.76
  5. Step 5: Solve for x
    x = 239,497,989,593.76/408,872.40
  6. Step 6: Final answer
    x = 585,752.40

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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.