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Finding the Fourth Proportional to 349,068.28, 523,866.12 and 279,784.12

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Solution

The fourth proportional to 349,068.28, 523,866.12 and 279,784.12 is: 419,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,068.28 : 523,866.12 = 279,784.12 : x
  2. Step 2: Convert to fraction form
    349,068.28/523,866.12 = 279,784.12/x
  3. Step 3: Cross multiply
    349,068.28x = 523,866.12 × 279,784.12
  4. Step 4: Simplify right side
    349,068.28x = 146,569,421,382.01
  5. Step 5: Solve for x
    x = 146,569,421,382.01/349,068.28
  6. Step 6: Final answer
    x = 419,887.54

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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.