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Finding the Fourth Proportional to 360,834.75, 497,378.27 and 284,232.54

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Solution

The fourth proportional to 360,834.75, 497,378.27 and 284,232.54 is: 391,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,834.75 : 497,378.27 = 284,232.54 : x
  2. Step 2: Convert to fraction form
    360,834.75/497,378.27 = 284,232.54/x
  3. Step 3: Cross multiply
    360,834.75x = 497,378.27 × 284,232.54
  4. Step 4: Simplify right side
    360,834.75x = 141,371,091,598.66
  5. Step 5: Solve for x
    x = 141,371,091,598.66/360,834.75
  6. Step 6: Final answer
    x = 391,789.02

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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.