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Finding the Fourth Proportional to 720,502.64, 994,331.40 and 414,625.64

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Solution

The fourth proportional to 720,502.64, 994,331.40 and 414,625.64 is: 572,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,502.64 : 994,331.40 = 414,625.64 : x
  2. Step 2: Convert to fraction form
    720,502.64/994,331.40 = 414,625.64/x
  3. Step 3: Cross multiply
    720,502.64x = 994,331.40 × 414,625.64
  4. Step 4: Simplify right side
    720,502.64x = 412,275,293,097.10
  5. Step 5: Solve for x
    x = 412,275,293,097.10/720,502.64
  6. Step 6: Final answer
    x = 572,205.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.