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Finding the Fourth Proportional to 511,418.81, 767,158.97 and 156,435.91

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Solution

The fourth proportional to 511,418.81, 767,158.97 and 156,435.91 is: 234,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,418.81 : 767,158.97 = 156,435.91 : x
  2. Step 2: Convert to fraction form
    511,418.81/767,158.97 = 156,435.91/x
  3. Step 3: Cross multiply
    511,418.81x = 767,158.97 × 156,435.91
  4. Step 4: Simplify right side
    511,418.81x = 120,011,210,206.46
  5. Step 5: Solve for x
    x = 120,011,210,206.46/511,418.81
  6. Step 6: Final answer
    x = 234,663.27

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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.