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Finding the Fourth Proportional to 312,859.52, 469,376.76 and 102,645.08

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Solution

The fourth proportional to 312,859.52, 469,376.76 and 102,645.08 is: 153,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,859.52 : 469,376.76 = 102,645.08 : x
  2. Step 2: Convert to fraction form
    312,859.52/469,376.76 = 102,645.08/x
  3. Step 3: Cross multiply
    312,859.52x = 469,376.76 × 102,645.08
  4. Step 4: Simplify right side
    312,859.52x = 48,179,215,080.34
  5. Step 5: Solve for x
    x = 48,179,215,080.34/312,859.52
  6. Step 6: Final answer
    x = 153,996.32

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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.