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Finding the Fourth Proportional to 312,420.65, 468,315.45 and 123,013.95

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Solution

The fourth proportional to 312,420.65, 468,315.45 and 123,013.95 is: 184,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420.65 : 468,315.45 = 123,013.95 : x
  2. Step 2: Convert to fraction form
    312,420.65/468,315.45 = 123,013.95/x
  3. Step 3: Cross multiply
    312,420.65x = 468,315.45 × 123,013.95
  4. Step 4: Simplify right side
    312,420.65x = 57,609,333,350.53
  5. Step 5: Solve for x
    x = 57,609,333,350.53/312,420.65
  6. Step 6: Final answer
    x = 184,396.69

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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.