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Finding the Fourth Proportional to 403,078.18, 604,119 and 203,455.49

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Solution

The fourth proportional to 403,078.18, 604,119 and 203,455.49 is: 304,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,078.18 : 604,119 = 203,455.49 : x
  2. Step 2: Convert to fraction form
    403,078.18/604,119 = 203,455.49/x
  3. Step 3: Cross multiply
    403,078.18x = 604,119 × 203,455.49
  4. Step 4: Simplify right side
    403,078.18x = 122,911,327,163.31
  5. Step 5: Solve for x
    x = 122,911,327,163.31/403,078.18
  6. Step 6: Final answer
    x = 304,931.73

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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.