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Finding the Fourth Proportional to 415,920.80, 623,879.18 and 163,022.60

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Solution

The fourth proportional to 415,920.80, 623,879.18 and 163,022.60 is: 244,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,920.80 : 623,879.18 = 163,022.60 : x
  2. Step 2: Convert to fraction form
    415,920.80/623,879.18 = 163,022.60/x
  3. Step 3: Cross multiply
    415,920.80x = 623,879.18 × 163,022.60
  4. Step 4: Simplify right side
    415,920.80x = 101,706,406,009.47
  5. Step 5: Solve for x
    x = 101,706,406,009.47/415,920.80
  6. Step 6: Final answer
    x = 244,533.11

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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.