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Finding the Fourth Proportional to 565,888.98, 780,922.71 and 311,234.70

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Solution

The fourth proportional to 565,888.98, 780,922.71 and 311,234.70 is: 429,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,888.98 : 780,922.71 = 311,234.70 : x
  2. Step 2: Convert to fraction form
    565,888.98/780,922.71 = 311,234.70/x
  3. Step 3: Cross multiply
    565,888.98x = 780,922.71 × 311,234.70
  4. Step 4: Simplify right side
    565,888.98x = 243,050,245,370.04
  5. Step 5: Solve for x
    x = 243,050,245,370.04/565,888.98
  6. Step 6: Final answer
    x = 429,501.64

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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.