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Finding the Fourth Proportional to 371,686.40, 512,971.20 and 220,784

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Solution

The fourth proportional to 371,686.40, 512,971.20 and 220,784 is: 304,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,686.40 : 512,971.20 = 220,784 : x
  2. Step 2: Convert to fraction form
    371,686.40/512,971.20 = 220,784/x
  3. Step 3: Cross multiply
    371,686.40x = 512,971.20 × 220,784
  4. Step 4: Simplify right side
    371,686.40x = 113,255,833,420.80
  5. Step 5: Solve for x
    x = 113,255,833,420.80/371,686.40
  6. Step 6: Final answer
    x = 304,708.04

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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.