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Finding the Fourth Proportional to 511,824.93, 767,709.69 and 156,840

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Solution

The fourth proportional to 511,824.93, 767,709.69 and 156,840 is: 235,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,824.93 : 767,709.69 = 156,840 : x
  2. Step 2: Convert to fraction form
    511,824.93/767,709.69 = 156,840/x
  3. Step 3: Cross multiply
    511,824.93x = 767,709.69 × 156,840
  4. Step 4: Simplify right side
    511,824.93x = 120,407,587,779.60
  5. Step 5: Solve for x
    x = 120,407,587,779.60/511,824.93
  6. Step 6: Final answer
    x = 235,251.51

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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.