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Finding the Fourth Proportional to 429,423.48, 643,796.46 and 271,318.68

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Solution

The fourth proportional to 429,423.48, 643,796.46 and 271,318.68 is: 406,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,423.48 : 643,796.46 = 271,318.68 : x
  2. Step 2: Convert to fraction form
    429,423.48/643,796.46 = 271,318.68/x
  3. Step 3: Cross multiply
    429,423.48x = 643,796.46 × 271,318.68
  4. Step 4: Simplify right side
    429,423.48x = 174,674,005,715.87
  5. Step 5: Solve for x
    x = 174,674,005,715.87/429,423.48
  6. Step 6: Final answer
    x = 406,763.98

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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.