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Finding the Fourth Proportional to 523,438, 722,344.48 and 284,974

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Solution

The fourth proportional to 523,438, 722,344.48 and 284,974 is: 393,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,438 : 722,344.48 = 284,974 : x
  2. Step 2: Convert to fraction form
    523,438/722,344.48 = 284,974/x
  3. Step 3: Cross multiply
    523,438x = 722,344.48 × 284,974
  4. Step 4: Simplify right side
    523,438x = 205,849,395,843.52
  5. Step 5: Solve for x
    x = 205,849,395,843.52/523,438
  6. Step 6: Final answer
    x = 393,264.14

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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.