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Finding the Fourth Proportional to 515,622.60, 774,017.10 and 278,843.40

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Solution

The fourth proportional to 515,622.60, 774,017.10 and 278,843.40 is: 418,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,622.60 : 774,017.10 = 278,843.40 : x
  2. Step 2: Convert to fraction form
    515,622.60/774,017.10 = 278,843.40/x
  3. Step 3: Cross multiply
    515,622.60x = 774,017.10 × 278,843.40
  4. Step 4: Simplify right side
    515,622.60x = 215,829,559,822.14
  5. Step 5: Solve for x
    x = 215,829,559,822.14/515,622.60
  6. Step 6: Final answer
    x = 418,580.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.