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Finding the Fourth Proportional to 265,523.40, 399,062.70 and 260,857.80

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Solution

The fourth proportional to 265,523.40, 399,062.70 and 260,857.80 is: 392,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,523.40 : 399,062.70 = 260,857.80 : x
  2. Step 2: Convert to fraction form
    265,523.40/399,062.70 = 260,857.80/x
  3. Step 3: Cross multiply
    265,523.40x = 399,062.70 × 260,857.80
  4. Step 4: Simplify right side
    265,523.40x = 104,098,617,984.06
  5. Step 5: Solve for x
    x = 104,098,617,984.06/265,523.40
  6. Step 6: Final answer
    x = 392,050.64

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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.