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Finding the Fourth Proportional to 506,206.50, 698,579.55 and 279,866.58

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Solution

The fourth proportional to 506,206.50, 698,579.55 and 279,866.58 is: 386,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,206.50 : 698,579.55 = 279,866.58 : x
  2. Step 2: Convert to fraction form
    506,206.50/698,579.55 = 279,866.58/x
  3. Step 3: Cross multiply
    506,206.50x = 698,579.55 × 279,866.58
  4. Step 4: Simplify right side
    506,206.50x = 195,509,069,516.44
  5. Step 5: Solve for x
    x = 195,509,069,516.44/506,206.50
  6. Step 6: Final answer
    x = 386,223.94

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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.