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Finding the Fourth Proportional to 322,572.90, 484,195.47 and 315,336

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Solution

The fourth proportional to 322,572.90, 484,195.47 and 315,336 is: 473,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,572.90 : 484,195.47 = 315,336 : x
  2. Step 2: Convert to fraction form
    322,572.90/484,195.47 = 315,336/x
  3. Step 3: Cross multiply
    322,572.90x = 484,195.47 × 315,336
  4. Step 4: Simplify right side
    322,572.90x = 152,684,262,727.92
  5. Step 5: Solve for x
    x = 152,684,262,727.92/322,572.90
  6. Step 6: Final answer
    x = 473,332.58

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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.