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Finding the Fourth Proportional to 261,398.60, 392,097.90 and 202,276.70

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Solution

The fourth proportional to 261,398.60, 392,097.90 and 202,276.70 is: 303,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,398.60 : 392,097.90 = 202,276.70 : x
  2. Step 2: Convert to fraction form
    261,398.60/392,097.90 = 202,276.70/x
  3. Step 3: Cross multiply
    261,398.60x = 392,097.90 × 202,276.70
  4. Step 4: Simplify right side
    261,398.60x = 79,312,269,288.93
  5. Step 5: Solve for x
    x = 79,312,269,288.93/261,398.60
  6. Step 6: Final answer
    x = 303,415.05

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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.