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Finding the Fourth Proportional to 429,098.40, 643,856.66 and 176,454.80

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Solution

The fourth proportional to 429,098.40, 643,856.66 and 176,454.80 is: 264,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,098.40 : 643,856.66 = 176,454.80 : x
  2. Step 2: Convert to fraction form
    429,098.40/643,856.66 = 176,454.80/x
  3. Step 3: Cross multiply
    429,098.40x = 643,856.66 × 176,454.80
  4. Step 4: Simplify right side
    429,098.40x = 113,611,598,168.97
  5. Step 5: Solve for x
    x = 113,611,598,168.97/429,098.40
  6. Step 6: Final answer
    x = 264,768.17

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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.