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Finding the Fourth Proportional to 506,013, 698,288.58 and 279,653.64

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Solution

The fourth proportional to 506,013, 698,288.58 and 279,653.64 is: 385,916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,013 : 698,288.58 = 279,653.64 : x
  2. Step 2: Convert to fraction form
    506,013/698,288.58 = 279,653.64/x
  3. Step 3: Cross multiply
    506,013x = 698,288.58 × 279,653.64
  4. Step 4: Simplify right side
    506,013x = 195,278,943,167.43
  5. Step 5: Solve for x
    x = 195,278,943,167.43/506,013
  6. Step 6: Final answer
    x = 385,916.85

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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.