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Finding the Fourth Proportional to 309,898.80, 464,192.10 and 276,656.40

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Solution

The fourth proportional to 309,898.80, 464,192.10 and 276,656.40 is: 414,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,898.80 : 464,192.10 = 276,656.40 : x
  2. Step 2: Convert to fraction form
    309,898.80/464,192.10 = 276,656.40/x
  3. Step 3: Cross multiply
    309,898.80x = 464,192.10 × 276,656.40
  4. Step 4: Simplify right side
    309,898.80x = 128,421,715,294.44
  5. Step 5: Solve for x
    x = 128,421,715,294.44/309,898.80
  6. Step 6: Final answer
    x = 414,398.88

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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.