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Finding the Fourth Proportional to 514,740.40, 772,212.66 and 159,739.27

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Solution

The fourth proportional to 514,740.40, 772,212.66 and 159,739.27 is: 239,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,740.40 : 772,212.66 = 159,739.27 : x
  2. Step 2: Convert to fraction form
    514,740.40/772,212.66 = 159,739.27/x
  3. Step 3: Cross multiply
    514,740.40x = 772,212.66 × 159,739.27
  4. Step 4: Simplify right side
    514,740.40x = 123,352,686,593.16
  5. Step 5: Solve for x
    x = 123,352,686,593.16/514,740.40
  6. Step 6: Final answer
    x = 239,640.58

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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.