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Finding the Fourth Proportional to 586,476, 809,341.20 and 318,204

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Solution

The fourth proportional to 586,476, 809,341.20 and 318,204 is: 439,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,476 : 809,341.20 = 318,204 : x
  2. Step 2: Convert to fraction form
    586,476/809,341.20 = 318,204/x
  3. Step 3: Cross multiply
    586,476x = 809,341.20 × 318,204
  4. Step 4: Simplify right side
    586,476x = 257,535,607,204.80
  5. Step 5: Solve for x
    x = 257,535,607,204.80/586,476
  6. Step 6: Final answer
    x = 439,123.86

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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.