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Finding the Fourth Proportional to 586,348.71, 809,162.78 and 318,076.71

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Solution

The fourth proportional to 586,348.71, 809,162.78 and 318,076.71 is: 438,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,348.71 : 809,162.78 = 318,076.71 : x
  2. Step 2: Convert to fraction form
    586,348.71/809,162.78 = 318,076.71/x
  3. Step 3: Cross multiply
    586,348.71x = 809,162.78 × 318,076.71
  4. Step 4: Simplify right side
    586,348.71x = 257,375,834,916.85
  5. Step 5: Solve for x
    x = 257,375,834,916.85/586,348.71
  6. Step 6: Final answer
    x = 438,946.71

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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.