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Finding the Fourth Proportional to 286,155.00, 428,671.34 and 165,959.45

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Solution

The fourth proportional to 286,155.00, 428,671.34 and 165,959.45 is: 248,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,155.00 : 428,671.34 = 165,959.45 : x
  2. Step 2: Convert to fraction form
    286,155.00/428,671.34 = 165,959.45/x
  3. Step 3: Cross multiply
    286,155.00x = 428,671.34 × 165,959.45
  4. Step 4: Simplify right side
    286,155.00x = 71,142,061,303.74
  5. Step 5: Solve for x
    x = 71,142,061,303.74/286,155.00
  6. Step 6: Final answer
    x = 248,613.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.