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Finding the Fourth Proportional to 288,756.32, 433,181.20 and 89,030

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Solution

The fourth proportional to 288,756.32, 433,181.20 and 89,030 is: 133,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,756.32 : 433,181.20 = 89,030 : x
  2. Step 2: Convert to fraction form
    288,756.32/433,181.20 = 89,030/x
  3. Step 3: Cross multiply
    288,756.32x = 433,181.20 × 89,030
  4. Step 4: Simplify right side
    288,756.32x = 38,566,122,236
  5. Step 5: Solve for x
    x = 38,566,122,236/288,756.32
  6. Step 6: Final answer
    x = 133,559.40

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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.