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Finding the Fourth Proportional to 768,876.30, 1,153,314.45 and 319,447.80

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Solution

The fourth proportional to 768,876.30, 1,153,314.45 and 319,447.80 is: 479,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,876.30 : 1,153,314.45 = 319,447.80 : x
  2. Step 2: Convert to fraction form
    768,876.30/1,153,314.45 = 319,447.80/x
  3. Step 3: Cross multiply
    768,876.30x = 1,153,314.45 × 319,447.80
  4. Step 4: Simplify right side
    768,876.30x = 368,423,763,760.71
  5. Step 5: Solve for x
    x = 368,423,763,760.71/768,876.30
  6. Step 6: Final answer
    x = 479,171.70

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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.