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Finding the Fourth Proportional to 410,672.51, 614,718.23 and 261,081.71

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Solution

The fourth proportional to 410,672.51, 614,718.23 and 261,081.71 is: 390,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,672.51 : 614,718.23 = 261,081.71 : x
  2. Step 2: Convert to fraction form
    410,672.51/614,718.23 = 261,081.71/x
  3. Step 3: Cross multiply
    410,672.51x = 614,718.23 × 261,081.71
  4. Step 4: Simplify right side
    410,672.51x = 160,491,682,277.57
  5. Step 5: Solve for x
    x = 160,491,682,277.57/410,672.51
  6. Step 6: Final answer
    x = 390,802.11

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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.