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Finding the Fourth Proportional to 506,016, 698,292.72 and 279,656.64

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Solution

The fourth proportional to 506,016, 698,292.72 and 279,656.64 is: 385,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,016 : 698,292.72 = 279,656.64 : x
  2. Step 2: Convert to fraction form
    506,016/698,292.72 = 279,656.64/x
  3. Step 3: Cross multiply
    506,016x = 698,292.72 × 279,656.64
  4. Step 4: Simplify right side
    506,016x = 195,282,195,811.66
  5. Step 5: Solve for x
    x = 195,282,195,811.66/506,016
  6. Step 6: Final answer
    x = 385,920.99

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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.