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Finding the Fourth Proportional to 719,294.32, 1,078,409 and 344,960.88

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Solution

The fourth proportional to 719,294.32, 1,078,409 and 344,960.88 is: 517,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,294.32 : 1,078,409 = 344,960.88 : x
  2. Step 2: Convert to fraction form
    719,294.32/1,078,409 = 344,960.88/x
  3. Step 3: Cross multiply
    719,294.32x = 1,078,409 × 344,960.88
  4. Step 4: Simplify right side
    719,294.32x = 372,008,917,639.92
  5. Step 5: Solve for x
    x = 372,008,917,639.92/719,294.32
  6. Step 6: Final answer
    x = 517,185.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.