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Finding the Fourth Proportional to 511,506.56, 766,724.76 and 174,429.08

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Solution

The fourth proportional to 511,506.56, 766,724.76 and 174,429.08 is: 261,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,506.56 : 766,724.76 = 174,429.08 : x
  2. Step 2: Convert to fraction form
    511,506.56/766,724.76 = 174,429.08/x
  3. Step 3: Cross multiply
    511,506.56x = 766,724.76 × 174,429.08
  4. Step 4: Simplify right side
    511,506.56x = 133,739,094,500.02
  5. Step 5: Solve for x
    x = 133,739,094,500.02/511,506.56
  6. Step 6: Final answer
    x = 261,461.15

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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.