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Finding the Fourth Proportional to 312,468.48, 468,724.64 and 125,480

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Solution

The fourth proportional to 312,468.48, 468,724.64 and 125,480 is: 188,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,468.48 : 468,724.64 = 125,480 : x
  2. Step 2: Convert to fraction form
    312,468.48/468,724.64 = 125,480/x
  3. Step 3: Cross multiply
    312,468.48x = 468,724.64 × 125,480
  4. Step 4: Simplify right side
    312,468.48x = 58,815,567,827.20
  5. Step 5: Solve for x
    x = 58,815,567,827.20/312,468.48
  6. Step 6: Final answer
    x = 188,228.80

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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.