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Finding the Fourth Proportional to 429,773.72, 643,774.64 and 251,740.98

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Solution

The fourth proportional to 429,773.72, 643,774.64 and 251,740.98 is: 377,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,773.72 : 643,774.64 = 251,740.98 : x
  2. Step 2: Convert to fraction form
    429,773.72/643,774.64 = 251,740.98/x
  3. Step 3: Cross multiply
    429,773.72x = 643,774.64 × 251,740.98
  4. Step 4: Simplify right side
    429,773.72x = 162,064,457,514.04
  5. Step 5: Solve for x
    x = 162,064,457,514.04/429,773.72
  6. Step 6: Final answer
    x = 377,092.53

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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.