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Finding the Fourth Proportional to 583,508, 805,241.13 and 315,236

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Solution

The fourth proportional to 583,508, 805,241.13 and 315,236 is: 435,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,508 : 805,241.13 = 315,236 : x
  2. Step 2: Convert to fraction form
    583,508/805,241.13 = 315,236/x
  3. Step 3: Cross multiply
    583,508x = 805,241.13 × 315,236
  4. Step 4: Simplify right side
    583,508x = 253,840,992,856.68
  5. Step 5: Solve for x
    x = 253,840,992,856.68/583,508
  6. Step 6: Final answer
    x = 435,025.73

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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.