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Finding the Fourth Proportional to 288,990.40, 433,561.20 and 111,503.20

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Solution

The fourth proportional to 288,990.40, 433,561.20 and 111,503.20 is: 167,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,990.40 : 433,561.20 = 111,503.20 : x
  2. Step 2: Convert to fraction form
    288,990.40/433,561.20 = 111,503.20/x
  3. Step 3: Cross multiply
    288,990.40x = 433,561.20 × 111,503.20
  4. Step 4: Simplify right side
    288,990.40x = 48,343,461,195.84
  5. Step 5: Solve for x
    x = 48,343,461,195.84/288,990.40
  6. Step 6: Final answer
    x = 167,283.97

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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.