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Finding the Fourth Proportional to 511,432.94, 767,121.80 and 156,447

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Solution

The fourth proportional to 511,432.94, 767,121.80 and 156,447 is: 234,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,432.94 : 767,121.80 = 156,447 : x
  2. Step 2: Convert to fraction form
    511,432.94/767,121.80 = 156,447/x
  3. Step 3: Cross multiply
    511,432.94x = 767,121.80 × 156,447
  4. Step 4: Simplify right side
    511,432.94x = 120,013,903,462.37
  5. Step 5: Solve for x
    x = 120,013,903,462.37/511,432.94
  6. Step 6: Final answer
    x = 234,662.05

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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.