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Finding the Fourth Proportional to 288,468.70, 398,085.80 and 159,403.58

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Solution

The fourth proportional to 288,468.70, 398,085.80 and 159,403.58 is: 219,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,468.70 : 398,085.80 = 159,403.58 : x
  2. Step 2: Convert to fraction form
    288,468.70/398,085.80 = 159,403.58/x
  3. Step 3: Cross multiply
    288,468.70x = 398,085.80 × 159,403.58
  4. Step 4: Simplify right side
    288,468.70x = 63,456,301,667.16
  5. Step 5: Solve for x
    x = 63,456,301,667.16/288,468.70
  6. Step 6: Final answer
    x = 219,976.38

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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.