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Finding the Fourth Proportional to 502,923.31, 694,013.04 and 285,146.64

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Solution

The fourth proportional to 502,923.31, 694,013.04 and 285,146.64 is: 393,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,923.31 : 694,013.04 = 285,146.64 : x
  2. Step 2: Convert to fraction form
    502,923.31/694,013.04 = 285,146.64/x
  3. Step 3: Cross multiply
    502,923.31x = 694,013.04 × 285,146.64
  4. Step 4: Simplify right side
    502,923.31x = 197,895,486,472.19
  5. Step 5: Solve for x
    x = 197,895,486,472.19/502,923.31
  6. Step 6: Final answer
    x = 393,490.38

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1.5x scale

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.