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Finding the Fourth Proportional to 541,455.39, 747,214.35 and 299,742

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Solution

The fourth proportional to 541,455.39, 747,214.35 and 299,742 is: 413,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,455.39 : 747,214.35 = 299,742 : x
  2. Step 2: Convert to fraction form
    541,455.39/747,214.35 = 299,742/x
  3. Step 3: Cross multiply
    541,455.39x = 747,214.35 × 299,742
  4. Step 4: Simplify right side
    541,455.39x = 223,971,523,697.70
  5. Step 5: Solve for x
    x = 223,971,523,697.70/541,455.39
  6. Step 6: Final answer
    x = 413,647.23

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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.