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Finding the Fourth Proportional to 521,090.21, 781,858.85 and 201,466.58

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Solution

The fourth proportional to 521,090.21, 781,858.85 and 201,466.58 is: 302,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,090.21 : 781,858.85 = 201,466.58 : x
  2. Step 2: Convert to fraction form
    521,090.21/781,858.85 = 201,466.58/x
  3. Step 3: Cross multiply
    521,090.21x = 781,858.85 × 201,466.58
  4. Step 4: Simplify right side
    521,090.21x = 157,518,423,635.61
  5. Step 5: Solve for x
    x = 157,518,423,635.61/521,090.21
  6. Step 6: Final answer
    x = 302,286.28

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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.