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Finding the Fourth Proportional to 420,893.01, 631,118.25 and 287,811.36

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Solution

The fourth proportional to 420,893.01, 631,118.25 and 287,811.36 is: 431,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,893.01 : 631,118.25 = 287,811.36 : x
  2. Step 2: Convert to fraction form
    420,893.01/631,118.25 = 287,811.36/x
  3. Step 3: Cross multiply
    420,893.01x = 631,118.25 × 287,811.36
  4. Step 4: Simplify right side
    420,893.01x = 181,643,001,853.32
  5. Step 5: Solve for x
    x = 181,643,001,853.32/420,893.01
  6. Step 6: Final answer
    x = 431,565.74

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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.