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Finding the Fourth Proportional to 289,619.92, 399,302.92 and 187,464.40

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Solution

The fourth proportional to 289,619.92, 399,302.92 and 187,464.40 is: 258,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,619.92 : 399,302.92 = 187,464.40 : x
  2. Step 2: Convert to fraction form
    289,619.92/399,302.92 = 187,464.40/x
  3. Step 3: Cross multiply
    289,619.92x = 399,302.92 × 187,464.40
  4. Step 4: Simplify right side
    289,619.92x = 74,855,082,316.05
  5. Step 5: Solve for x
    x = 74,855,082,316.05/289,619.92
  6. Step 6: Final answer
    x = 258,459.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.