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Finding the Fourth Proportional to 391,837.92, 540,742.40 and 228,490

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Solution

The fourth proportional to 391,837.92, 540,742.40 and 228,490 is: 315,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,837.92 : 540,742.40 = 228,490 : x
  2. Step 2: Convert to fraction form
    391,837.92/540,742.40 = 228,490/x
  3. Step 3: Cross multiply
    391,837.92x = 540,742.40 × 228,490
  4. Step 4: Simplify right side
    391,837.92x = 123,554,230,976
  5. Step 5: Solve for x
    x = 123,554,230,976/391,837.92
  6. Step 6: Final answer
    x = 315,319.74

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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.