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Finding the Fourth Proportional to 408,938.40, 564,334.16 and 230,090.40

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Solution

The fourth proportional to 408,938.40, 564,334.16 and 230,090.40 is: 317,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,938.40 : 564,334.16 = 230,090.40 : x
  2. Step 2: Convert to fraction form
    408,938.40/564,334.16 = 230,090.40/x
  3. Step 3: Cross multiply
    408,938.40x = 564,334.16 × 230,090.40
  4. Step 4: Simplify right side
    408,938.40x = 129,847,872,608.06
  5. Step 5: Solve for x
    x = 129,847,872,608.06/408,938.40
  6. Step 6: Final answer
    x = 317,524.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.