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Finding the Fourth Proportional to 340,081.40, 510,122.10 and 287,593.40

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Solution

The fourth proportional to 340,081.40, 510,122.10 and 287,593.40 is: 431,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,081.40 : 510,122.10 = 287,593.40 : x
  2. Step 2: Convert to fraction form
    340,081.40/510,122.10 = 287,593.40/x
  3. Step 3: Cross multiply
    340,081.40x = 510,122.10 × 287,593.40
  4. Step 4: Simplify right side
    340,081.40x = 146,707,749,154.14
  5. Step 5: Solve for x
    x = 146,707,749,154.14/340,081.40
  6. Step 6: Final answer
    x = 431,390.10

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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.