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Finding the Fourth Proportional to 284,901.16, 427,412.22 and 107,403.88

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Solution

The fourth proportional to 284,901.16, 427,412.22 and 107,403.88 is: 161,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,901.16 : 427,412.22 = 107,403.88 : x
  2. Step 2: Convert to fraction form
    284,901.16/427,412.22 = 107,403.88/x
  3. Step 3: Cross multiply
    284,901.16x = 427,412.22 × 107,403.88
  4. Step 4: Simplify right side
    284,901.16x = 45,905,730,787.41
  5. Step 5: Solve for x
    x = 45,905,730,787.41/284,901.16
  6. Step 6: Final answer
    x = 161,128.62

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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.