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Finding the Fourth Proportional to 508,766.32, 702,062.40 and 282,394

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Solution

The fourth proportional to 508,766.32, 702,062.40 and 282,394 is: 389,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,766.32 : 702,062.40 = 282,394 : x
  2. Step 2: Convert to fraction form
    508,766.32/702,062.40 = 282,394/x
  3. Step 3: Cross multiply
    508,766.32x = 702,062.40 × 282,394
  4. Step 4: Simplify right side
    508,766.32x = 198,258,209,385.60
  5. Step 5: Solve for x
    x = 198,258,209,385.60/508,766.32
  6. Step 6: Final answer
    x = 389,684.23

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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.