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Finding the Fourth Proportional to 418,965.96, 628,547.37 and 138,483.21

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Solution

The fourth proportional to 418,965.96, 628,547.37 and 138,483.21 is: 207,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,965.96 : 628,547.37 = 138,483.21 : x
  2. Step 2: Convert to fraction form
    418,965.96/628,547.37 = 138,483.21/x
  3. Step 3: Cross multiply
    418,965.96x = 628,547.37 × 138,483.21
  4. Step 4: Simplify right side
    418,965.96x = 87,043,257,434.66
  5. Step 5: Solve for x
    x = 87,043,257,434.66/418,965.96
  6. Step 6: Final answer
    x = 207,757.35

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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.