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Finding the Fourth Proportional to 502,117.84, 693,054.12 and 311,022.64

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Solution

The fourth proportional to 502,117.84, 693,054.12 and 311,022.64 is: 429,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,117.84 : 693,054.12 = 311,022.64 : x
  2. Step 2: Convert to fraction form
    502,117.84/693,054.12 = 311,022.64/x
  3. Step 3: Cross multiply
    502,117.84x = 693,054.12 × 311,022.64
  4. Step 4: Simplify right side
    502,117.84x = 215,555,522,065.28
  5. Step 5: Solve for x
    x = 215,555,522,065.28/502,117.84
  6. Step 6: Final answer
    x = 429,292.70

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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.