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Finding the Fourth Proportional to 410,287.69, 565,750.60 and 266,781.61

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Solution

The fourth proportional to 410,287.69, 565,750.60 and 266,781.61 is: 367,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,287.69 : 565,750.60 = 266,781.61 : x
  2. Step 2: Convert to fraction form
    410,287.69/565,750.60 = 266,781.61/x
  3. Step 3: Cross multiply
    410,287.69x = 565,750.60 × 266,781.61
  4. Step 4: Simplify right side
    410,287.69x = 150,931,855,926.47
  5. Step 5: Solve for x
    x = 150,931,855,926.47/410,287.69
  6. Step 6: Final answer
    x = 367,868.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.