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Finding the Fourth Proportional to 415,430.20, 623,112.90 and 162,661.60

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Solution

The fourth proportional to 415,430.20, 623,112.90 and 162,661.60 is: 243,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,430.20 : 623,112.90 = 162,661.60 : x
  2. Step 2: Convert to fraction form
    415,430.20/623,112.90 = 162,661.60/x
  3. Step 3: Cross multiply
    415,430.20x = 623,112.90 × 162,661.60
  4. Step 4: Simplify right side
    415,430.20x = 101,356,541,294.64
  5. Step 5: Solve for x
    x = 101,356,541,294.64/415,430.20
  6. Step 6: Final answer
    x = 243,979.71

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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.