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Finding the Fourth Proportional to 289,285.44, 433,938.24 and 89,587.68

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Solution

The fourth proportional to 289,285.44, 433,938.24 and 89,587.68 is: 134,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,285.44 : 433,938.24 = 89,587.68 : x
  2. Step 2: Convert to fraction form
    289,285.44/433,938.24 = 89,587.68/x
  3. Step 3: Cross multiply
    289,285.44x = 433,938.24 × 89,587.68
  4. Step 4: Simplify right side
    289,285.44x = 38,875,520,184.88
  5. Step 5: Solve for x
    x = 38,875,520,184.88/289,285.44
  6. Step 6: Final answer
    x = 134,384.64

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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.