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Finding the Fourth Proportional to 517,040.27, 776,287.01 and 264,501.90

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Solution

The fourth proportional to 517,040.27, 776,287.01 and 264,501.90 is: 397,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,040.27 : 776,287.01 = 264,501.90 : x
  2. Step 2: Convert to fraction form
    517,040.27/776,287.01 = 264,501.90/x
  3. Step 3: Cross multiply
    517,040.27x = 776,287.01 × 264,501.90
  4. Step 4: Simplify right side
    517,040.27x = 205,329,387,767.81
  5. Step 5: Solve for x
    x = 205,329,387,767.81/517,040.27
  6. Step 6: Final answer
    x = 397,124.56

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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.