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Finding the Fourth Proportional to 289,297.40, 433,869.30 and 89,617.40

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Solution

The fourth proportional to 289,297.40, 433,869.30 and 89,617.40 is: 134,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,297.40 : 433,869.30 = 89,617.40 : x
  2. Step 2: Convert to fraction form
    289,297.40/433,869.30 = 89,617.40/x
  3. Step 3: Cross multiply
    289,297.40x = 433,869.30 × 89,617.40
  4. Step 4: Simplify right side
    289,297.40x = 38,882,238,605.82
  5. Step 5: Solve for x
    x = 38,882,238,605.82/289,297.40
  6. Step 6: Final answer
    x = 134,402.31

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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.