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Finding the Fourth Proportional to 309,700.32, 464,236.74 and 209,870.61

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Solution

The fourth proportional to 309,700.32, 464,236.74 and 209,870.61 is: 314,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,700.32 : 464,236.74 = 209,870.61 : x
  2. Step 2: Convert to fraction form
    309,700.32/464,236.74 = 209,870.61/x
  3. Step 3: Cross multiply
    309,700.32x = 464,236.74 × 209,870.61
  4. Step 4: Simplify right side
    309,700.32x = 97,429,647,808.21
  5. Step 5: Solve for x
    x = 97,429,647,808.21/309,700.32
  6. Step 6: Final answer
    x = 314,593.31

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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.