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Finding the Fourth Proportional to 251,424, 346,965.12 and 150,854.40

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Solution

The fourth proportional to 251,424, 346,965.12 and 150,854.40 is: 208,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,424 : 346,965.12 = 150,854.40 : x
  2. Step 2: Convert to fraction form
    251,424/346,965.12 = 150,854.40/x
  3. Step 3: Cross multiply
    251,424x = 346,965.12 × 150,854.40
  4. Step 4: Simplify right side
    251,424x = 52,341,214,998.53
  5. Step 5: Solve for x
    x = 52,341,214,998.53/251,424
  6. Step 6: Final answer
    x = 208,179.07

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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.