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Finding the Fourth Proportional to 719,448, 992,838.24 and 401,496

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Solution

The fourth proportional to 719,448, 992,838.24 and 401,496 is: 554,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,448 : 992,838.24 = 401,496 : x
  2. Step 2: Convert to fraction form
    719,448/992,838.24 = 401,496/x
  3. Step 3: Cross multiply
    719,448x = 992,838.24 × 401,496
  4. Step 4: Simplify right side
    719,448x = 398,620,582,007.04
  5. Step 5: Solve for x
    x = 398,620,582,007.04/719,448
  6. Step 6: Final answer
    x = 554,064.48

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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.