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Finding the Fourth Proportional to 506,143.58, 698,450.73 and 279,774.50

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Solution

The fourth proportional to 506,143.58, 698,450.73 and 279,774.50 is: 386,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,143.58 : 698,450.73 = 279,774.50 : x
  2. Step 2: Convert to fraction form
    506,143.58/698,450.73 = 279,774.50/x
  3. Step 3: Cross multiply
    506,143.58x = 698,450.73 × 279,774.50
  4. Step 4: Simplify right side
    506,143.58x = 195,408,703,760.39
  5. Step 5: Solve for x
    x = 195,408,703,760.39/506,143.58
  6. Step 6: Final answer
    x = 386,073.66

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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.