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Finding the Fourth Proportional to 252,008.40, 378,575.80 and 210,536.40

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Solution

The fourth proportional to 252,008.40, 378,575.80 and 210,536.40 is: 316,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,008.40 : 378,575.80 = 210,536.40 : x
  2. Step 2: Convert to fraction form
    252,008.40/378,575.80 = 210,536.40/x
  3. Step 3: Cross multiply
    252,008.40x = 378,575.80 × 210,536.40
  4. Step 4: Simplify right side
    252,008.40x = 79,703,986,059.12
  5. Step 5: Solve for x
    x = 79,703,986,059.12/252,008.40
  6. Step 6: Final answer
    x = 316,275.12

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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.