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Finding the Fourth Proportional to 288,448.29, 398,064.78 and 159,386.94

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Solution

The fourth proportional to 288,448.29, 398,064.78 and 159,386.94 is: 219,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,448.29 : 398,064.78 = 159,386.94 : x
  2. Step 2: Convert to fraction form
    288,448.29/398,064.78 = 159,386.94/x
  3. Step 3: Cross multiply
    288,448.29x = 398,064.78 × 159,386.94
  4. Step 4: Simplify right side
    288,448.29x = 63,446,327,205.97
  5. Step 5: Solve for x
    x = 63,446,327,205.97/288,448.29
  6. Step 6: Final answer
    x = 219,957.37

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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.