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Finding the Fourth Proportional to 427,814.60, 640,944.30 and 348,499.40

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Solution

The fourth proportional to 427,814.60, 640,944.30 and 348,499.40 is: 522,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,814.60 : 640,944.30 = 348,499.40 : x
  2. Step 2: Convert to fraction form
    427,814.60/640,944.30 = 348,499.40/x
  3. Step 3: Cross multiply
    427,814.60x = 640,944.30 × 348,499.40
  4. Step 4: Simplify right side
    427,814.60x = 223,368,703,983.42
  5. Step 5: Solve for x
    x = 223,368,703,983.42/427,814.60
  6. Step 6: Final answer
    x = 522,115.66

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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.