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Finding the Fourth Proportional to 429,745.72, 644,618.76 and 163,444.72

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Solution

The fourth proportional to 429,745.72, 644,618.76 and 163,444.72 is: 245,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,745.72 : 644,618.76 = 163,444.72 : x
  2. Step 2: Convert to fraction form
    429,745.72/644,618.76 = 163,444.72/x
  3. Step 3: Cross multiply
    429,745.72x = 644,618.76 × 163,444.72
  4. Step 4: Simplify right side
    429,745.72x = 105,359,532,734.95
  5. Step 5: Solve for x
    x = 105,359,532,734.95/429,745.72
  6. Step 6: Final answer
    x = 245,167.15

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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.