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Finding the Fourth Proportional to 415,351.26, 623,026.82 and 99,808.17

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Solution

The fourth proportional to 415,351.26, 623,026.82 and 99,808.17 is: 149,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,351.26 : 623,026.82 = 99,808.17 : x
  2. Step 2: Convert to fraction form
    415,351.26/623,026.82 = 99,808.17/x
  3. Step 3: Cross multiply
    415,351.26x = 623,026.82 × 99,808.17
  4. Step 4: Simplify right side
    415,351.26x = 62,183,165,457.07
  5. Step 5: Solve for x
    x = 62,183,165,457.07/415,351.26
  6. Step 6: Final answer
    x = 149,712.24

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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.