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Finding the Fourth Proportional to 500,264.78, 690,364.60 and 270,822

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Solution

The fourth proportional to 500,264.78, 690,364.60 and 270,822 is: 373,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,264.78 : 690,364.60 = 270,822 : x
  2. Step 2: Convert to fraction form
    500,264.78/690,364.60 = 270,822/x
  3. Step 3: Cross multiply
    500,264.78x = 690,364.60 × 270,822
  4. Step 4: Simplify right side
    500,264.78x = 186,965,921,701.20
  5. Step 5: Solve for x
    x = 186,965,921,701.20/500,264.78
  6. Step 6: Final answer
    x = 373,733.93

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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.