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Finding the Fourth Proportional to 288,768.96, 398,488.05 and 159,708.63

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Solution

The fourth proportional to 288,768.96, 398,488.05 and 159,708.63 is: 220,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,768.96 : 398,488.05 = 159,708.63 : x
  2. Step 2: Convert to fraction form
    288,768.96/398,488.05 = 159,708.63/x
  3. Step 3: Cross multiply
    288,768.96x = 398,488.05 × 159,708.63
  4. Step 4: Simplify right side
    288,768.96x = 63,641,977,745.89
  5. Step 5: Solve for x
    x = 63,641,977,745.89/288,768.96
  6. Step 6: Final answer
    x = 220,390.64

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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.