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Finding the Fourth Proportional to 502,870.10, 693,902.54 and 287,997.34

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Solution

The fourth proportional to 502,870.10, 693,902.54 and 287,997.34 is: 397,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,870.10 : 693,902.54 = 287,997.34 : x
  2. Step 2: Convert to fraction form
    502,870.10/693,902.54 = 287,997.34/x
  3. Step 3: Cross multiply
    502,870.10x = 693,902.54 × 287,997.34
  4. Step 4: Simplify right side
    502,870.10x = 199,842,085,739.24
  5. Step 5: Solve for x
    x = 199,842,085,739.24/502,870.10
  6. Step 6: Final answer
    x = 397,403.00

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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.