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Finding the Fourth Proportional to 511,444.05, 767,138.24 and 156,458.06

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Solution

The fourth proportional to 511,444.05, 767,138.24 and 156,458.06 is: 234,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,444.05 : 767,138.24 = 156,458.06 : x
  2. Step 2: Convert to fraction form
    511,444.05/767,138.24 = 156,458.06/x
  3. Step 3: Cross multiply
    511,444.05x = 767,138.24 × 156,458.06
  4. Step 4: Simplify right side
    511,444.05x = 120,024,964,529.59
  5. Step 5: Solve for x
    x = 120,024,964,529.59/511,444.05
  6. Step 6: Final answer
    x = 234,678.58

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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.