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Finding the Fourth Proportional to 517,647.24, 776,470.62 and 143,670.12

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Solution

The fourth proportional to 517,647.24, 776,470.62 and 143,670.12 is: 215,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,647.24 : 776,470.62 = 143,670.12 : x
  2. Step 2: Convert to fraction form
    517,647.24/776,470.62 = 143,670.12/x
  3. Step 3: Cross multiply
    517,647.24x = 776,470.62 × 143,670.12
  4. Step 4: Simplify right side
    517,647.24x = 111,555,627,151.87
  5. Step 5: Solve for x
    x = 111,555,627,151.87/517,647.24
  6. Step 6: Final answer
    x = 215,505.11

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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.