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Finding the Fourth Proportional to 511,320.64, 766,980.96 and 156,334.66

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Solution

The fourth proportional to 511,320.64, 766,980.96 and 156,334.66 is: 234,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,320.64 : 766,980.96 = 156,334.66 : x
  2. Step 2: Convert to fraction form
    511,320.64/766,980.96 = 156,334.66/x
  3. Step 3: Cross multiply
    511,320.64x = 766,980.96 × 156,334.66
  4. Step 4: Simplify right side
    511,320.64x = 119,905,707,608.07
  5. Step 5: Solve for x
    x = 119,905,707,608.07/511,320.64
  6. Step 6: Final answer
    x = 234,501.99

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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.