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Finding the Fourth Proportional to 926,280, 1,278,266.40 and 502,344

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Solution

The fourth proportional to 926,280, 1,278,266.40 and 502,344 is: 693,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,280 : 1,278,266.40 = 502,344 : x
  2. Step 2: Convert to fraction form
    926,280/1,278,266.40 = 502,344/x
  3. Step 3: Cross multiply
    926,280x = 1,278,266.40 × 502,344
  4. Step 4: Simplify right side
    926,280x = 642,129,456,441.60
  5. Step 5: Solve for x
    x = 642,129,456,441.60/926,280
  6. Step 6: Final answer
    x = 693,234.72

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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.