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Finding the Fourth Proportional to 586,656, 809,585.28 and 318,384

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Solution

The fourth proportional to 586,656, 809,585.28 and 318,384 is: 439,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,656 : 809,585.28 = 318,384 : x
  2. Step 2: Convert to fraction form
    586,656/809,585.28 = 318,384/x
  3. Step 3: Cross multiply
    586,656x = 809,585.28 × 318,384
  4. Step 4: Simplify right side
    586,656x = 257,758,999,787.52
  5. Step 5: Solve for x
    x = 257,758,999,787.52/586,656
  6. Step 6: Final answer
    x = 439,369.92

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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.