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Finding the Fourth Proportional to 398,497.86, 596,904.12 and 322,269.30

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Solution

The fourth proportional to 398,497.86, 596,904.12 and 322,269.30 is: 482,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,497.86 : 596,904.12 = 322,269.30 : x
  2. Step 2: Convert to fraction form
    398,497.86/596,904.12 = 322,269.30/x
  3. Step 3: Cross multiply
    398,497.86x = 596,904.12 × 322,269.30
  4. Step 4: Simplify right side
    398,497.86x = 192,363,872,919.52
  5. Step 5: Solve for x
    x = 192,363,872,919.52/398,497.86
  6. Step 6: Final answer
    x = 482,722.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.