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Finding the Fourth Proportional to 586,502.50, 809,377.78 and 318,230.50

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Solution

The fourth proportional to 586,502.50, 809,377.78 and 318,230.50 is: 439,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,502.50 : 809,377.78 = 318,230.50 : x
  2. Step 2: Convert to fraction form
    586,502.50/809,377.78 = 318,230.50/x
  3. Step 3: Cross multiply
    586,502.50x = 809,377.78 × 318,230.50
  4. Step 4: Simplify right side
    586,502.50x = 257,568,695,618.29
  5. Step 5: Solve for x
    x = 257,568,695,618.29/586,502.50
  6. Step 6: Final answer
    x = 439,160.44

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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.