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Finding the Fourth Proportional to 506,206.42, 698,534.84 and 279,838.42

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Solution

The fourth proportional to 506,206.42, 698,534.84 and 279,838.42 is: 386,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,206.42 : 698,534.84 = 279,838.42 : x
  2. Step 2: Convert to fraction form
    506,206.42/698,534.84 = 279,838.42/x
  3. Step 3: Cross multiply
    506,206.42x = 698,534.84 × 279,838.42
  4. Step 4: Simplify right side
    506,206.42x = 195,476,885,940.55
  5. Step 5: Solve for x
    x = 195,476,885,940.55/506,206.42
  6. Step 6: Final answer
    x = 386,160.42

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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.