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Finding the Fourth Proportional to 502,499.85, 693,559.16 and 309,073.80

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Solution

The fourth proportional to 502,499.85, 693,559.16 and 309,073.80 is: 426,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,499.85 : 693,559.16 = 309,073.80 : x
  2. Step 2: Convert to fraction form
    502,499.85/693,559.16 = 309,073.80/x
  3. Step 3: Cross multiply
    502,499.85x = 693,559.16 × 309,073.80
  4. Step 4: Simplify right side
    502,499.85x = 214,360,967,320.51
  5. Step 5: Solve for x
    x = 214,360,967,320.51/502,499.85
  6. Step 6: Final answer
    x = 426,589.12

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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.