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Finding the Fourth Proportional to 288,649.77, 398,302.16 and 159,570.87

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Solution

The fourth proportional to 288,649.77, 398,302.16 and 159,570.87 is: 220,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,649.77 : 398,302.16 = 159,570.87 : x
  2. Step 2: Convert to fraction form
    288,649.77/398,302.16 = 159,570.87/x
  3. Step 3: Cross multiply
    288,649.77x = 398,302.16 × 159,570.87
  4. Step 4: Simplify right side
    288,649.77x = 63,557,421,396.22
  5. Step 5: Solve for x
    x = 63,557,421,396.22/288,649.77
  6. Step 6: Final answer
    x = 220,188.71

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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.