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Finding the Fourth Proportional to 459,317.46, 688,989.15 and 126,893.46

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Solution

The fourth proportional to 459,317.46, 688,989.15 and 126,893.46 is: 190,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,317.46 : 688,989.15 = 126,893.46 : x
  2. Step 2: Convert to fraction form
    459,317.46/688,989.15 = 126,893.46/x
  3. Step 3: Cross multiply
    459,317.46x = 688,989.15 × 126,893.46
  4. Step 4: Simplify right side
    459,317.46x = 87,428,217,145.96
  5. Step 5: Solve for x
    x = 87,428,217,145.96/459,317.46
  6. Step 6: Final answer
    x = 190,343.77

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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.