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Finding the Fourth Proportional to 502,995.94, 694,130.94 and 285,245.74

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Solution

The fourth proportional to 502,995.94, 694,130.94 and 285,245.74 is: 393,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,995.94 : 694,130.94 = 285,245.74 : x
  2. Step 2: Convert to fraction form
    502,995.94/694,130.94 = 285,245.74/x
  3. Step 3: Cross multiply
    502,995.94x = 694,130.94 × 285,245.74
  4. Step 4: Simplify right side
    502,995.94x = 197,997,893,637.20
  5. Step 5: Solve for x
    x = 197,997,893,637.20/502,995.94
  6. Step 6: Final answer
    x = 393,637.16

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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.