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Finding the Fourth Proportional to 312,290.72, 468,366.00 and 143,649.08

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Solution

The fourth proportional to 312,290.72, 468,366.00 and 143,649.08 is: 215,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,290.72 : 468,366.00 = 143,649.08 : x
  2. Step 2: Convert to fraction form
    312,290.72/468,366.00 = 143,649.08/x
  3. Step 3: Cross multiply
    312,290.72x = 468,366.00 × 143,649.08
  4. Step 4: Simplify right side
    312,290.72x = 67,280,342,122.77
  5. Step 5: Solve for x
    x = 67,280,342,122.77/312,290.72
  6. Step 6: Final answer
    x = 215,441.38

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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.