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Finding the Fourth Proportional to 288,988.40, 433,558.20 and 111,501.20

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Solution

The fourth proportional to 288,988.40, 433,558.20 and 111,501.20 is: 167,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,988.40 : 433,558.20 = 111,501.20 : x
  2. Step 2: Convert to fraction form
    288,988.40/433,558.20 = 111,501.20/x
  3. Step 3: Cross multiply
    288,988.40x = 433,558.20 × 111,501.20
  4. Step 4: Simplify right side
    288,988.40x = 48,342,259,569.84
  5. Step 5: Solve for x
    x = 48,342,259,569.84/288,988.40
  6. Step 6: Final answer
    x = 167,280.97

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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.