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Finding the Fourth Proportional to 502,112, 692,976 and 290,144

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Solution

The fourth proportional to 502,112, 692,976 and 290,144 is: 400,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,112 : 692,976 = 290,144 : x
  2. Step 2: Convert to fraction form
    502,112/692,976 = 290,144/x
  3. Step 3: Cross multiply
    502,112x = 692,976 × 290,144
  4. Step 4: Simplify right side
    502,112x = 201,062,828,544
  5. Step 5: Solve for x
    x = 201,062,828,544/502,112
  6. Step 6: Final answer
    x = 400,434.22

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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.