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Finding the Fourth Proportional to 371,922.59, 513,217.29 and 208,585.71

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Solution

The fourth proportional to 371,922.59, 513,217.29 and 208,585.71 is: 287,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,922.59 : 513,217.29 = 208,585.71 : x
  2. Step 2: Convert to fraction form
    371,922.59/513,217.29 = 208,585.71/x
  3. Step 3: Cross multiply
    371,922.59x = 513,217.29 × 208,585.71
  4. Step 4: Simplify right side
    371,922.59x = 107,049,792,818.93
  5. Step 5: Solve for x
    x = 107,049,792,818.93/371,922.59
  6. Step 6: Final answer
    x = 287,828.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.