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Finding the Fourth Proportional to 415,802.46, 623,713.41 and 135,341.58

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Solution

The fourth proportional to 415,802.46, 623,713.41 and 135,341.58 is: 203,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,802.46 : 623,713.41 = 135,341.58 : x
  2. Step 2: Convert to fraction form
    415,802.46/623,713.41 = 135,341.58/x
  3. Step 3: Cross multiply
    415,802.46x = 623,713.41 × 135,341.58
  4. Step 4: Simplify right side
    415,802.46x = 84,414,358,376.59
  5. Step 5: Solve for x
    x = 84,414,358,376.59/415,802.46
  6. Step 6: Final answer
    x = 203,015.53

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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.