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Finding the Fourth Proportional to 511,950.78, 767,956.14 and 156,968.28

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Solution

The fourth proportional to 511,950.78, 767,956.14 and 156,968.28 is: 235,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,950.78 : 767,956.14 = 156,968.28 : x
  2. Step 2: Convert to fraction form
    511,950.78/767,956.14 = 156,968.28/x
  3. Step 3: Cross multiply
    511,950.78x = 767,956.14 × 156,968.28
  4. Step 4: Simplify right side
    511,950.78x = 120,544,754,411.24
  5. Step 5: Solve for x
    x = 120,544,754,411.24/511,950.78
  6. Step 6: Final answer
    x = 235,461.61

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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.