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Finding the Fourth Proportional to 415,806.46, 623,719.42 and 135,345.58

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Solution

The fourth proportional to 415,806.46, 623,719.42 and 135,345.58 is: 203,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,806.46 : 623,719.42 = 135,345.58 : x
  2. Step 2: Convert to fraction form
    415,806.46/623,719.42 = 135,345.58/x
  3. Step 3: Cross multiply
    415,806.46x = 623,719.42 × 135,345.58
  4. Step 4: Simplify right side
    415,806.46x = 84,417,666,657.16
  5. Step 5: Solve for x
    x = 84,417,666,657.16/415,806.46
  6. Step 6: Final answer
    x = 203,021.54

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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.