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Finding the Fourth Proportional to 415,212.80, 623,110.80 and 265,816.40

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Solution

The fourth proportional to 415,212.80, 623,110.80 and 265,816.40 is: 398,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,212.80 : 623,110.80 = 265,816.40 : x
  2. Step 2: Convert to fraction form
    415,212.80/623,110.80 = 265,816.40/x
  3. Step 3: Cross multiply
    415,212.80x = 623,110.80 × 265,816.40
  4. Step 4: Simplify right side
    415,212.80x = 165,633,069,657.12
  5. Step 5: Solve for x
    x = 165,633,069,657.12/415,212.80
  6. Step 6: Final answer
    x = 398,911.28

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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.