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Finding the Fourth Proportional to 348,538.60, 522,807.90 and 259,965.10

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Solution

The fourth proportional to 348,538.60, 522,807.90 and 259,965.10 is: 389,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,538.60 : 522,807.90 = 259,965.10 : x
  2. Step 2: Convert to fraction form
    348,538.60/522,807.90 = 259,965.10/x
  3. Step 3: Cross multiply
    348,538.60x = 522,807.90 × 259,965.10
  4. Step 4: Simplify right side
    348,538.60x = 135,911,808,004.29
  5. Step 5: Solve for x
    x = 135,911,808,004.29/348,538.60
  6. Step 6: Final answer
    x = 389,947.65

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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.