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Finding the Fourth Proportional to 565,733.69, 780,712.50 and 311,084.88

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Solution

The fourth proportional to 565,733.69, 780,712.50 and 311,084.88 is: 429,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,733.69 : 780,712.50 = 311,084.88 : x
  2. Step 2: Convert to fraction form
    565,733.69/780,712.50 = 311,084.88/x
  3. Step 3: Cross multiply
    565,733.69x = 780,712.50 × 311,084.88
  4. Step 4: Simplify right side
    565,733.69x = 242,867,854,377
  5. Step 5: Solve for x
    x = 242,867,854,377/565,733.69
  6. Step 6: Final answer
    x = 429,297.14

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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.