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Finding the Fourth Proportional to 583,434, 805,139.64 and 315,162

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Solution

The fourth proportional to 583,434, 805,139.64 and 315,162 is: 434,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,434 : 805,139.64 = 315,162 : x
  2. Step 2: Convert to fraction form
    583,434/805,139.64 = 315,162/x
  3. Step 3: Cross multiply
    583,434x = 805,139.64 × 315,162
  4. Step 4: Simplify right side
    583,434x = 253,749,419,221.68
  5. Step 5: Solve for x
    x = 253,749,419,221.68/583,434
  6. Step 6: Final answer
    x = 434,923.95

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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.