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Finding the Fourth Proportional to 418,970.96, 628,554.88 and 138,488.22

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Solution

The fourth proportional to 418,970.96, 628,554.88 and 138,488.22 is: 207,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,970.96 : 628,554.88 = 138,488.22 : x
  2. Step 2: Convert to fraction form
    418,970.96/628,554.88 = 138,488.22/x
  3. Step 3: Cross multiply
    418,970.96x = 628,554.88 × 138,488.22
  4. Step 4: Simplify right side
    418,970.96x = 87,047,446,503.51
  5. Step 5: Solve for x
    x = 87,047,446,503.51/418,970.96
  6. Step 6: Final answer
    x = 207,764.87

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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.