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Finding the Fourth Proportional to 415,809.78, 623,709.18 and 100,263.93

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Solution

The fourth proportional to 415,809.78, 623,709.18 and 100,263.93 is: 150,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,809.78 : 623,709.18 = 100,263.93 : x
  2. Step 2: Convert to fraction form
    415,809.78/623,709.18 = 100,263.93/x
  3. Step 3: Cross multiply
    415,809.78x = 623,709.18 × 100,263.93
  4. Step 4: Simplify right side
    415,809.78x = 62,535,533,563.88
  5. Step 5: Solve for x
    x = 62,535,533,563.88/415,809.78
  6. Step 6: Final answer
    x = 150,394.57

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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.