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Finding the Fourth Proportional to 511,439.81, 767,418.80 and 340,778.16

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Solution

The fourth proportional to 511,439.81, 767,418.80 and 340,778.16 is: 511,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,439.81 : 767,418.80 = 340,778.16 : x
  2. Step 2: Convert to fraction form
    511,439.81/767,418.80 = 340,778.16/x
  3. Step 3: Cross multiply
    511,439.81x = 767,418.80 × 340,778.16
  4. Step 4: Simplify right side
    511,439.81x = 261,519,564,909.52
  5. Step 5: Solve for x
    x = 261,519,564,909.52/511,439.81
  6. Step 6: Final answer
    x = 511,339.87

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1.5x scale

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.