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Finding the Fourth Proportional to 252,090.40, 378,698.80 and 210,618.40

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Solution

The fourth proportional to 252,090.40, 378,698.80 and 210,618.40 is: 316,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,090.40 : 378,698.80 = 210,618.40 : x
  2. Step 2: Convert to fraction form
    252,090.40/378,698.80 = 210,618.40/x
  3. Step 3: Cross multiply
    252,090.40x = 378,698.80 × 210,618.40
  4. Step 4: Simplify right side
    252,090.40x = 79,760,935,337.92
  5. Step 5: Solve for x
    x = 79,760,935,337.92/252,090.40
  6. Step 6: Final answer
    x = 316,398.15

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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.