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Finding the Fourth Proportional to 1,251,784.84, 1,727,463.48 and 678,824.84

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Solution

The fourth proportional to 1,251,784.84, 1,727,463.48 and 678,824.84 is: 936,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,784.84 : 1,727,463.48 = 678,824.84 : x
  2. Step 2: Convert to fraction form
    1,251,784.84/1,727,463.48 = 678,824.84/x
  3. Step 3: Cross multiply
    1,251,784.84x = 1,727,463.48 × 678,824.84
  4. Step 4: Simplify right side
    1,251,784.84x = 1,172,645,120,416.84
  5. Step 5: Solve for x
    x = 1,172,645,120,416.84/1,251,784.84
  6. Step 6: Final answer
    x = 936,778.50

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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.