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Finding the Fourth Proportional to 512,326.80, 767,971.80 and 301,856.40

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Solution

The fourth proportional to 512,326.80, 767,971.80 and 301,856.40 is: 452,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,326.80 : 767,971.80 = 301,856.40 : x
  2. Step 2: Convert to fraction form
    512,326.80/767,971.80 = 301,856.40/x
  3. Step 3: Cross multiply
    512,326.80x = 767,971.80 × 301,856.40
  4. Step 4: Simplify right side
    512,326.80x = 231,817,202,849.52
  5. Step 5: Solve for x
    x = 231,817,202,849.52/512,326.80
  6. Step 6: Final answer
    x = 452,479.17

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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.