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Finding the Fourth Proportional to 415,798.80, 623,698.20 and 410,269.20

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Solution

The fourth proportional to 415,798.80, 623,698.20 and 410,269.20 is: 615,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,798.80 : 623,698.20 = 410,269.20 : x
  2. Step 2: Convert to fraction form
    415,798.80/623,698.20 = 410,269.20/x
  3. Step 3: Cross multiply
    415,798.80x = 623,698.20 × 410,269.20
  4. Step 4: Simplify right side
    415,798.80x = 255,884,161,555.44
  5. Step 5: Solve for x
    x = 255,884,161,555.44/415,798.80
  6. Step 6: Final answer
    x = 615,403.80

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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.