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Finding the Fourth Proportional to 252,297, 378,445.50 and 102,618.72

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Solution

The fourth proportional to 252,297, 378,445.50 and 102,618.72 is: 153,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,297 : 378,445.50 = 102,618.72 : x
  2. Step 2: Convert to fraction form
    252,297/378,445.50 = 102,618.72/x
  3. Step 3: Cross multiply
    252,297x = 378,445.50 × 102,618.72
  4. Step 4: Simplify right side
    252,297x = 38,835,592,799.76
  5. Step 5: Solve for x
    x = 38,835,592,799.76/252,297
  6. Step 6: Final answer
    x = 153,928.08

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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.