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Finding the Fourth Proportional to 511,670.70, 767,563.65 and 156,681.90

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Solution

The fourth proportional to 511,670.70, 767,563.65 and 156,681.90 is: 235,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,670.70 : 767,563.65 = 156,681.90 : x
  2. Step 2: Convert to fraction form
    511,670.70/767,563.65 = 156,681.90/x
  3. Step 3: Cross multiply
    511,670.70x = 767,563.65 × 156,681.90
  4. Step 4: Simplify right side
    511,670.70x = 120,263,331,052.94
  5. Step 5: Solve for x
    x = 120,263,331,052.94/511,670.70
  6. Step 6: Final answer
    x = 235,040.49

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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.