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Finding the Fourth Proportional to 517,507.69, 714,152.97 and 288,064.64

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Solution

The fourth proportional to 517,507.69, 714,152.97 and 288,064.64 is: 397,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,507.69 : 714,152.97 = 288,064.64 : x
  2. Step 2: Convert to fraction form
    517,507.69/714,152.97 = 288,064.64/x
  3. Step 3: Cross multiply
    517,507.69x = 714,152.97 × 288,064.64
  4. Step 4: Simplify right side
    517,507.69x = 205,722,218,207.98
  5. Step 5: Solve for x
    x = 205,722,218,207.98/517,507.69
  6. Step 6: Final answer
    x = 397,524.95

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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.