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Finding the Fourth Proportional to 511,448.65, 767,145.23 and 156,462.71

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Solution

The fourth proportional to 511,448.65, 767,145.23 and 156,462.71 is: 234,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,448.65 : 767,145.23 = 156,462.71 : x
  2. Step 2: Convert to fraction form
    511,448.65/767,145.23 = 156,462.71/x
  3. Step 3: Cross multiply
    511,448.65x = 767,145.23 × 156,462.71
  4. Step 4: Simplify right side
    511,448.65x = 120,029,621,649.37
  5. Step 5: Solve for x
    x = 120,029,621,649.37/511,448.65
  6. Step 6: Final answer
    x = 234,685.58

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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.