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Finding the Fourth Proportional to 312,011.18, 468,086.93 and 98,791.84

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Solution

The fourth proportional to 312,011.18, 468,086.93 and 98,791.84 is: 148,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,011.18 : 468,086.93 = 98,791.84 : x
  2. Step 2: Convert to fraction form
    312,011.18/468,086.93 = 98,791.84/x
  3. Step 3: Cross multiply
    312,011.18x = 468,086.93 × 98,791.84
  4. Step 4: Simplify right side
    312,011.18x = 46,243,169,094.65
  5. Step 5: Solve for x
    x = 46,243,169,094.65/312,011.18
  6. Step 6: Final answer
    x = 148,209.97

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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.