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Finding the Fourth Proportional to 371,850.16, 513,153 and 202,084.32

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Solution

The fourth proportional to 371,850.16, 513,153 and 202,084.32 is: 278,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,850.16 : 513,153 = 202,084.32 : x
  2. Step 2: Convert to fraction form
    371,850.16/513,153 = 202,084.32/x
  3. Step 3: Cross multiply
    371,850.16x = 513,153 × 202,084.32
  4. Step 4: Simplify right side
    371,850.16x = 103,700,175,060.96
  5. Step 5: Solve for x
    x = 103,700,175,060.96/371,850.16
  6. Step 6: Final answer
    x = 278,876.24

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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.