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Finding the Fourth Proportional to 415,633.23, 623,449.98 and 100,090.13

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Solution

The fourth proportional to 415,633.23, 623,449.98 and 100,090.13 is: 150,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,633.23 : 623,449.98 = 100,090.13 : x
  2. Step 2: Convert to fraction form
    415,633.23/623,449.98 = 100,090.13/x
  3. Step 3: Cross multiply
    415,633.23x = 623,449.98 × 100,090.13
  4. Step 4: Simplify right side
    415,633.23x = 62,401,186,429.45
  5. Step 5: Solve for x
    x = 62,401,186,429.45/415,633.23
  6. Step 6: Final answer
    x = 150,135.22

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1.5x scale

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.