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Finding the Fourth Proportional to 415,206.80, 623,101.80 and 265,810.40

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Solution

The fourth proportional to 415,206.80, 623,101.80 and 265,810.40 is: 398,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,206.80 : 623,101.80 = 265,810.40 : x
  2. Step 2: Convert to fraction form
    415,206.80/623,101.80 = 265,810.40/x
  3. Step 3: Cross multiply
    415,206.80x = 623,101.80 × 265,810.40
  4. Step 4: Simplify right side
    415,206.80x = 165,626,938,698.72
  5. Step 5: Solve for x
    x = 165,626,938,698.72/415,206.80
  6. Step 6: Final answer
    x = 398,902.28

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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.