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Finding the Fourth Proportional to 288,733.34, 398,454.53 and 159,680.50

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Solution

The fourth proportional to 288,733.34, 398,454.53 and 159,680.50 is: 220,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,733.34 : 398,454.53 = 159,680.50 : x
  2. Step 2: Convert to fraction form
    288,733.34/398,454.53 = 159,680.50/x
  3. Step 3: Cross multiply
    288,733.34x = 398,454.53 × 159,680.50
  4. Step 4: Simplify right side
    288,733.34x = 63,625,416,783.13
  5. Step 5: Solve for x
    x = 63,625,416,783.13/288,733.34
  6. Step 6: Final answer
    x = 220,360.48

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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.