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Finding the Fourth Proportional to 559,505.50, 772,107.18 and 311,162.70

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Solution

The fourth proportional to 559,505.50, 772,107.18 and 311,162.70 is: 429,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,505.50 : 772,107.18 = 311,162.70 : x
  2. Step 2: Convert to fraction form
    559,505.50/772,107.18 = 311,162.70/x
  3. Step 3: Cross multiply
    559,505.50x = 772,107.18 × 311,162.70
  4. Step 4: Simplify right side
    559,505.50x = 240,250,954,818.19
  5. Step 5: Solve for x
    x = 240,250,954,818.19/559,505.50
  6. Step 6: Final answer
    x = 429,398.74

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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.