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Finding the Fourth Proportional to 354,937.57, 489,856.80 and 202,012.95

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Solution

The fourth proportional to 354,937.57, 489,856.80 and 202,012.95 is: 278,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,937.57 : 489,856.80 = 202,012.95 : x
  2. Step 2: Convert to fraction form
    354,937.57/489,856.80 = 202,012.95/x
  3. Step 3: Cross multiply
    354,937.57x = 489,856.80 × 202,012.95
  4. Step 4: Simplify right side
    354,937.57x = 98,957,417,245.56
  5. Step 5: Solve for x
    x = 98,957,417,245.56/354,937.57
  6. Step 6: Final answer
    x = 278,802.32

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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.