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Finding the Fourth Proportional to 516,089.28, 774,133.94 and 161,133.72

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Solution

The fourth proportional to 516,089.28, 774,133.94 and 161,133.72 is: 241,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,089.28 : 774,133.94 = 161,133.72 : x
  2. Step 2: Convert to fraction form
    516,089.28/774,133.94 = 161,133.72/x
  3. Step 3: Cross multiply
    516,089.28x = 774,133.94 × 161,133.72
  4. Step 4: Simplify right side
    516,089.28x = 124,739,080,724.79
  5. Step 5: Solve for x
    x = 124,739,080,724.79/516,089.28
  6. Step 6: Final answer
    x = 241,700.58

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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.