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Finding the Fourth Proportional to 390,057.60, 585,086.40 and 345,734.40

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Solution

The fourth proportional to 390,057.60, 585,086.40 and 345,734.40 is: 518,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057.60 : 585,086.40 = 345,734.40 : x
  2. Step 2: Convert to fraction form
    390,057.60/585,086.40 = 345,734.40/x
  3. Step 3: Cross multiply
    390,057.60x = 585,086.40 × 345,734.40
  4. Step 4: Simplify right side
    390,057.60x = 202,284,495,452.16
  5. Step 5: Solve for x
    x = 202,284,495,452.16/390,057.60
  6. Step 6: Final answer
    x = 518,601.60

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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.