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Finding the Fourth Proportional to 498,446.46, 687,856.41 and 307,570.59

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Solution

The fourth proportional to 498,446.46, 687,856.41 and 307,570.59 is: 424,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,446.46 : 687,856.41 = 307,570.59 : x
  2. Step 2: Convert to fraction form
    498,446.46/687,856.41 = 307,570.59/x
  3. Step 3: Cross multiply
    498,446.46x = 687,856.41 × 307,570.59
  4. Step 4: Simplify right side
    498,446.46x = 211,564,401,858.98
  5. Step 5: Solve for x
    x = 211,564,401,858.98/498,446.46
  6. Step 6: Final answer
    x = 424,447.60

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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.