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Finding the Fourth Proportional to 312,174.90, 468,214.83 and 101,812.50

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Solution

The fourth proportional to 312,174.90, 468,214.83 and 101,812.50 is: 152,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,174.90 : 468,214.83 = 101,812.50 : x
  2. Step 2: Convert to fraction form
    312,174.90/468,214.83 = 101,812.50/x
  3. Step 3: Cross multiply
    312,174.90x = 468,214.83 × 101,812.50
  4. Step 4: Simplify right side
    312,174.90x = 47,670,122,379.38
  5. Step 5: Solve for x
    x = 47,670,122,379.38/312,174.90
  6. Step 6: Final answer
    x = 152,703.25

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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.