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Finding the Fourth Proportional to 349,551.10, 523,981.05 and 138,907.90

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Solution

The fourth proportional to 349,551.10, 523,981.05 and 138,907.90 is: 208,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,551.10 : 523,981.05 = 138,907.90 : x
  2. Step 2: Convert to fraction form
    349,551.10/523,981.05 = 138,907.90/x
  3. Step 3: Cross multiply
    349,551.10x = 523,981.05 × 138,907.90
  4. Step 4: Simplify right side
    349,551.10x = 72,785,107,295.30
  5. Step 5: Solve for x
    x = 72,785,107,295.30/349,551.10
  6. Step 6: Final answer
    x = 208,224.51

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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.