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Finding the Fourth Proportional to 349,904.10, 524,856.15 and 279,920.10

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Solution

The fourth proportional to 349,904.10, 524,856.15 and 279,920.10 is: 419,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,904.10 : 524,856.15 = 279,920.10 : x
  2. Step 2: Convert to fraction form
    349,904.10/524,856.15 = 279,920.10/x
  3. Step 3: Cross multiply
    349,904.10x = 524,856.15 × 279,920.10
  4. Step 4: Simplify right side
    349,904.10x = 146,917,785,993.62
  5. Step 5: Solve for x
    x = 146,917,785,993.62/349,904.10
  6. Step 6: Final answer
    x = 419,880.15

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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.