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Finding the Fourth Proportional to 514,681.12, 771,984.60 and 159,686

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Solution

The fourth proportional to 514,681.12, 771,984.60 and 159,686 is: 239,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,681.12 : 771,984.60 = 159,686 : x
  2. Step 2: Convert to fraction form
    514,681.12/771,984.60 = 159,686/x
  3. Step 3: Cross multiply
    514,681.12x = 771,984.60 × 159,686
  4. Step 4: Simplify right side
    514,681.12x = 123,275,132,835.60
  5. Step 5: Solve for x
    x = 123,275,132,835.60/514,681.12
  6. Step 6: Final answer
    x = 239,517.50

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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.