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Finding the Fourth Proportional to 511,453.94, 767,211.64 and 156,471.02

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Solution

The fourth proportional to 511,453.94, 767,211.64 and 156,471.02 is: 234,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,453.94 : 767,211.64 = 156,471.02 : x
  2. Step 2: Convert to fraction form
    511,453.94/767,211.64 = 156,471.02/x
  3. Step 3: Cross multiply
    511,453.94x = 767,211.64 × 156,471.02
  4. Step 4: Simplify right side
    511,453.94x = 120,046,387,866.67
  5. Step 5: Solve for x
    x = 120,046,387,866.67/511,453.94
  6. Step 6: Final answer
    x = 234,715.93

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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.