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Finding the Fourth Proportional to 371,785.56, 513,068.10 and 202,019.70

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Solution

The fourth proportional to 371,785.56, 513,068.10 and 202,019.70 is: 278,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,785.56 : 513,068.10 = 202,019.70 : x
  2. Step 2: Convert to fraction form
    371,785.56/513,068.10 = 202,019.70/x
  3. Step 3: Cross multiply
    371,785.56x = 513,068.10 × 202,019.70
  4. Step 4: Simplify right side
    371,785.56x = 103,649,863,641.57
  5. Step 5: Solve for x
    x = 103,649,863,641.57/371,785.56
  6. Step 6: Final answer
    x = 278,789.37

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1.5x scale

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.