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Finding the Fourth Proportional to 429,069.40, 643,354.85 and 162,684.61

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Solution

The fourth proportional to 429,069.40, 643,354.85 and 162,684.61 is: 243,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,069.40 : 643,354.85 = 162,684.61 : x
  2. Step 2: Convert to fraction form
    429,069.40/643,354.85 = 162,684.61/x
  3. Step 3: Cross multiply
    429,069.40x = 643,354.85 × 162,684.61
  4. Step 4: Simplify right side
    429,069.40x = 104,663,931,662.18
  5. Step 5: Solve for x
    x = 104,663,931,662.18/429,069.40
  6. Step 6: Final answer
    x = 243,932.41

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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.