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Finding the Fourth Proportional to 286,918.92, 395,962.74 and 159,597

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Solution

The fourth proportional to 286,918.92, 395,962.74 and 159,597 is: 220,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,918.92 : 395,962.74 = 159,597 : x
  2. Step 2: Convert to fraction form
    286,918.92/395,962.74 = 159,597/x
  3. Step 3: Cross multiply
    286,918.92x = 395,962.74 × 159,597
  4. Step 4: Simplify right side
    286,918.92x = 63,194,465,415.78
  5. Step 5: Solve for x
    x = 63,194,465,415.78/286,918.92
  6. Step 6: Final answer
    x = 220,252.00

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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.