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Finding the Fourth Proportional to 427,904.70, 640,807.29 and 287,236.86

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Solution

The fourth proportional to 427,904.70, 640,807.29 and 287,236.86 is: 430,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,904.70 : 640,807.29 = 287,236.86 : x
  2. Step 2: Convert to fraction form
    427,904.70/640,807.29 = 287,236.86/x
  3. Step 3: Cross multiply
    427,904.70x = 640,807.29 × 287,236.86
  4. Step 4: Simplify right side
    427,904.70x = 184,063,473,844.71
  5. Step 5: Solve for x
    x = 184,063,473,844.71/427,904.70
  6. Step 6: Final answer
    x = 430,150.62

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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.