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Finding the Fourth Proportional to 312,846.93, 469,270.38 and 144,317.39

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Solution

The fourth proportional to 312,846.93, 469,270.38 and 144,317.39 is: 216,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,846.93 : 469,270.38 = 144,317.39 : x
  2. Step 2: Convert to fraction form
    312,846.93/469,270.38 = 144,317.39/x
  3. Step 3: Cross multiply
    312,846.93x = 469,270.38 × 144,317.39
  4. Step 4: Simplify right side
    312,846.93x = 67,723,876,445.91
  5. Step 5: Solve for x
    x = 67,723,876,445.91/312,846.93
  6. Step 6: Final answer
    x = 216,476.08

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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.