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Finding the Fourth Proportional to 426,759.84, 588,188.16 and 311,850.72

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Solution

The fourth proportional to 426,759.84, 588,188.16 and 311,850.72 is: 429,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,759.84 : 588,188.16 = 311,850.72 : x
  2. Step 2: Convert to fraction form
    426,759.84/588,188.16 = 311,850.72/x
  3. Step 3: Cross multiply
    426,759.84x = 588,188.16 × 311,850.72
  4. Step 4: Simplify right side
    426,759.84x = 183,426,901,191.48
  5. Step 5: Solve for x
    x = 183,426,901,191.48/426,759.84
  6. Step 6: Final answer
    x = 429,812.94

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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.