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Finding the Fourth Proportional to 312,718.76, 469,112.62 and 99,436.78

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Solution

The fourth proportional to 312,718.76, 469,112.62 and 99,436.78 is: 149,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,718.76 : 469,112.62 = 99,436.78 : x
  2. Step 2: Convert to fraction form
    312,718.76/469,112.62 = 99,436.78/x
  3. Step 3: Cross multiply
    312,718.76x = 469,112.62 × 99,436.78
  4. Step 4: Simplify right side
    312,718.76x = 46,647,046,968.79
  5. Step 5: Solve for x
    x = 46,647,046,968.79/312,718.76
  6. Step 6: Final answer
    x = 149,166.13

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1.5x scale

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.