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Finding the Fourth Proportional to 429,277.14, 643,915.71 and 148,794.39

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Solution

The fourth proportional to 429,277.14, 643,915.71 and 148,794.39 is: 223,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,277.14 : 643,915.71 = 148,794.39 : x
  2. Step 2: Convert to fraction form
    429,277.14/643,915.71 = 148,794.39/x
  3. Step 3: Cross multiply
    429,277.14x = 643,915.71 × 148,794.39
  4. Step 4: Simplify right side
    429,277.14x = 95,811,045,280.87
  5. Step 5: Solve for x
    x = 95,811,045,280.87/429,277.14
  6. Step 6: Final answer
    x = 223,191.59

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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.