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Finding the Fourth Proportional to 418,686.56, 628,296.24 and 152,421.20

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Solution

The fourth proportional to 418,686.56, 628,296.24 and 152,421.20 is: 228,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,686.56 : 628,296.24 = 152,421.20 : x
  2. Step 2: Convert to fraction form
    418,686.56/628,296.24 = 152,421.20/x
  3. Step 3: Cross multiply
    418,686.56x = 628,296.24 × 152,421.20
  4. Step 4: Simplify right side
    418,686.56x = 95,765,666,856.29
  5. Step 5: Solve for x
    x = 95,765,666,856.29/418,686.56
  6. Step 6: Final answer
    x = 228,728.78

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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.