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Finding the Fourth Proportional to 429,374.05, 643,064.47 and 414,427.73

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Solution

The fourth proportional to 429,374.05, 643,064.47 and 414,427.73 is: 620,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,374.05 : 643,064.47 = 414,427.73 : x
  2. Step 2: Convert to fraction form
    429,374.05/643,064.47 = 414,427.73/x
  3. Step 3: Cross multiply
    429,374.05x = 643,064.47 × 414,427.73
  4. Step 4: Simplify right side
    429,374.05x = 266,503,744,294.36
  5. Step 5: Solve for x
    x = 266,503,744,294.36/429,374.05
  6. Step 6: Final answer
    x = 620,679.68

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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.