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Finding the Fourth Proportional to 288,614.91, 432,986.27 and 99,071.04

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Solution

The fourth proportional to 288,614.91, 432,986.27 and 99,071.04 is: 148,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,614.91 : 432,986.27 = 99,071.04 : x
  2. Step 2: Convert to fraction form
    288,614.91/432,986.27 = 99,071.04/x
  3. Step 3: Cross multiply
    288,614.91x = 432,986.27 × 99,071.04
  4. Step 4: Simplify right side
    288,614.91x = 42,896,400,074.62
  5. Step 5: Solve for x
    x = 42,896,400,074.62/288,614.91
  6. Step 6: Final answer
    x = 148,628.50

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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.