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Finding the Fourth Proportional to 586,728.52, 809,618.34 and 328,569.58

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Solution

The fourth proportional to 586,728.52, 809,618.34 and 328,569.58 is: 453,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,728.52 : 809,618.34 = 328,569.58 : x
  2. Step 2: Convert to fraction form
    586,728.52/809,618.34 = 328,569.58/x
  3. Step 3: Cross multiply
    586,728.52x = 809,618.34 × 328,569.58
  4. Step 4: Simplify right side
    586,728.52x = 266,015,957,934.10
  5. Step 5: Solve for x
    x = 266,015,957,934.10/586,728.52
  6. Step 6: Final answer
    x = 453,388.49

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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.