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Finding the Fourth Proportional to 288,528, 432,786.24 and 130,727.04

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Solution

The fourth proportional to 288,528, 432,786.24 and 130,727.04 is: 196,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,528 : 432,786.24 = 130,727.04 : x
  2. Step 2: Convert to fraction form
    288,528/432,786.24 = 130,727.04/x
  3. Step 3: Cross multiply
    288,528x = 432,786.24 × 130,727.04
  4. Step 4: Simplify right side
    288,528x = 56,576,864,107.93
  5. Step 5: Solve for x
    x = 56,576,864,107.93/288,528
  6. Step 6: Final answer
    x = 196,087.95

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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.