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Finding the Fourth Proportional to 288,869.72, 433,192.62 and 99,294.44

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Solution

The fourth proportional to 288,869.72, 433,192.62 and 99,294.44 is: 148,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,869.72 : 433,192.62 = 99,294.44 : x
  2. Step 2: Convert to fraction form
    288,869.72/433,192.62 = 99,294.44/x
  3. Step 3: Cross multiply
    288,869.72x = 433,192.62 × 99,294.44
  4. Step 4: Simplify right side
    288,869.72x = 43,013,618,615.03
  5. Step 5: Solve for x
    x = 43,013,618,615.03/288,869.72
  6. Step 6: Final answer
    x = 148,903.18

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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.