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Finding the Fourth Proportional to 371,800.34, 513,079.30 and 206,223.25

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Solution

The fourth proportional to 371,800.34, 513,079.30 and 206,223.25 is: 284,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,800.34 : 513,079.30 = 206,223.25 : x
  2. Step 2: Convert to fraction form
    371,800.34/513,079.30 = 206,223.25/x
  3. Step 3: Cross multiply
    371,800.34x = 513,079.30 × 206,223.25
  4. Step 4: Simplify right side
    371,800.34x = 105,808,880,615.72
  5. Step 5: Solve for x
    x = 105,808,880,615.72/371,800.34
  6. Step 6: Final answer
    x = 284,585.22

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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.