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Finding the Fourth Proportional to 415,655.21, 621,925.86 and 295,988.73

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Solution

The fourth proportional to 415,655.21, 621,925.86 and 295,988.73 is: 442,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,655.21 : 621,925.86 = 295,988.73 : x
  2. Step 2: Convert to fraction form
    415,655.21/621,925.86 = 295,988.73/x
  3. Step 3: Cross multiply
    415,655.21x = 621,925.86 × 295,988.73
  4. Step 4: Simplify right side
    415,655.21x = 184,083,045,455.56
  5. Step 5: Solve for x
    x = 184,083,045,455.56/415,655.21
  6. Step 6: Final answer
    x = 442,874.38

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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.