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Finding the Fourth Proportional to 312,009.13, 468,084.15 and 98,789.98

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Solution

The fourth proportional to 312,009.13, 468,084.15 and 98,789.98 is: 148,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,009.13 : 468,084.15 = 98,789.98 : x
  2. Step 2: Convert to fraction form
    312,009.13/468,084.15 = 98,789.98/x
  3. Step 3: Cross multiply
    312,009.13x = 468,084.15 × 98,789.98
  4. Step 4: Simplify right side
    312,009.13x = 46,242,023,816.82
  5. Step 5: Solve for x
    x = 46,242,023,816.82/312,009.13
  6. Step 6: Final answer
    x = 148,207.28

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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.