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Finding the Fourth Proportional to 288,893.94, 398,685.39 and 159,830.19

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Solution

The fourth proportional to 288,893.94, 398,685.39 and 159,830.19 is: 220,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,893.94 : 398,685.39 = 159,830.19 : x
  2. Step 2: Convert to fraction form
    288,893.94/398,685.39 = 159,830.19/x
  3. Step 3: Cross multiply
    288,893.94x = 398,685.39 × 159,830.19
  4. Step 4: Simplify right side
    288,893.94x = 63,721,961,633.92
  5. Step 5: Solve for x
    x = 63,721,961,633.92/288,893.94
  6. Step 6: Final answer
    x = 220,572.16

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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.