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Finding the Fourth Proportional to 502,763.02, 693,810.06 and 285,012.78

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Solution

The fourth proportional to 502,763.02, 693,810.06 and 285,012.78 is: 393,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,763.02 : 693,810.06 = 285,012.78 : x
  2. Step 2: Convert to fraction form
    502,763.02/693,810.06 = 285,012.78/x
  3. Step 3: Cross multiply
    502,763.02x = 693,810.06 × 285,012.78
  4. Step 4: Simplify right side
    502,763.02x = 197,744,733,992.57
  5. Step 5: Solve for x
    x = 197,744,733,992.57/502,763.02
  6. Step 6: Final answer
    x = 393,315.99

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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.