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Finding the Fourth Proportional to 398,509.92, 596,922.12 and 322,281.36

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Solution

The fourth proportional to 398,509.92, 596,922.12 and 322,281.36 is: 482,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,509.92 : 596,922.12 = 322,281.36 : x
  2. Step 2: Convert to fraction form
    398,509.92/596,922.12 = 322,281.36/x
  3. Step 3: Cross multiply
    398,509.92x = 596,922.12 × 322,281.36
  4. Step 4: Simplify right side
    398,509.92x = 192,376,872,647.68
  5. Step 5: Solve for x
    x = 192,376,872,647.68/398,509.92
  6. Step 6: Final answer
    x = 482,740.49

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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.