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Finding the Fourth Proportional to 429,659.83, 644,485.64 and 261,226.66

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Solution

The fourth proportional to 429,659.83, 644,485.64 and 261,226.66 is: 391,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,659.83 : 644,485.64 = 261,226.66 : x
  2. Step 2: Convert to fraction form
    429,659.83/644,485.64 = 261,226.66/x
  3. Step 3: Cross multiply
    429,659.83x = 644,485.64 × 261,226.66
  4. Step 4: Simplify right side
    429,659.83x = 168,356,831,155.16
  5. Step 5: Solve for x
    x = 168,356,831,155.16/429,659.83
  6. Step 6: Final answer
    x = 391,837.49

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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.