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Finding the Fourth Proportional to 314,172.87, 467,931.83 and 312,641.97

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Solution

The fourth proportional to 314,172.87, 467,931.83 and 312,641.97 is: 465,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,172.87 : 467,931.83 = 312,641.97 : x
  2. Step 2: Convert to fraction form
    314,172.87/467,931.83 = 312,641.97/x
  3. Step 3: Cross multiply
    314,172.87x = 467,931.83 × 312,641.97
  4. Step 4: Simplify right side
    314,172.87x = 146,295,127,593.70
  5. Step 5: Solve for x
    x = 146,295,127,593.70/314,172.87
  6. Step 6: Final answer
    x = 465,651.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.