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Finding the Fourth Proportional to 457,685.36, 686,574.18 and 120,749.30

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Solution

The fourth proportional to 457,685.36, 686,574.18 and 120,749.30 is: 181,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,685.36 : 686,574.18 = 120,749.30 : x
  2. Step 2: Convert to fraction form
    457,685.36/686,574.18 = 120,749.30/x
  3. Step 3: Cross multiply
    457,685.36x = 686,574.18 × 120,749.30
  4. Step 4: Simplify right side
    457,685.36x = 82,903,351,633.07
  5. Step 5: Solve for x
    x = 82,903,351,633.07/457,685.36
  6. Step 6: Final answer
    x = 181,136.12

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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.