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Finding the Fourth Proportional to 500,053.50, 689,937.48 and 285,115.14

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Solution

The fourth proportional to 500,053.50, 689,937.48 and 285,115.14 is: 393,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,053.50 : 689,937.48 = 285,115.14 : x
  2. Step 2: Convert to fraction form
    500,053.50/689,937.48 = 285,115.14/x
  3. Step 3: Cross multiply
    500,053.50x = 689,937.48 × 285,115.14
  4. Step 4: Simplify right side
    500,053.50x = 196,711,621,201.45
  5. Step 5: Solve for x
    x = 196,711,621,201.45/500,053.50
  6. Step 6: Final answer
    x = 393,381.15

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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.