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Finding the Fourth Proportional to 506,203.44, 698,532.84 and 279,834

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Solution

The fourth proportional to 506,203.44, 698,532.84 and 279,834 is: 386,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,203.44 : 698,532.84 = 279,834 : x
  2. Step 2: Convert to fraction form
    506,203.44/698,532.84 = 279,834/x
  3. Step 3: Cross multiply
    506,203.44x = 698,532.84 × 279,834
  4. Step 4: Simplify right side
    506,203.44x = 195,473,238,748.56
  5. Step 5: Solve for x
    x = 195,473,238,748.56/506,203.44
  6. Step 6: Final answer
    x = 386,155.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.