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Finding the Fourth Proportional to 348,078.60, 522,117.90 and 259,505.10

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Solution

The fourth proportional to 348,078.60, 522,117.90 and 259,505.10 is: 389,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,078.60 : 522,117.90 = 259,505.10 : x
  2. Step 2: Convert to fraction form
    348,078.60/522,117.90 = 259,505.10/x
  3. Step 3: Cross multiply
    348,078.60x = 522,117.90 × 259,505.10
  4. Step 4: Simplify right side
    348,078.60x = 135,492,257,851.29
  5. Step 5: Solve for x
    x = 135,492,257,851.29/348,078.60
  6. Step 6: Final answer
    x = 389,257.65

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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.