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Finding the Fourth Proportional to 458,401.28, 687,742.68 and 218,820.90

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Solution

The fourth proportional to 458,401.28, 687,742.68 and 218,820.90 is: 328,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,401.28 : 687,742.68 = 218,820.90 : x
  2. Step 2: Convert to fraction form
    458,401.28/687,742.68 = 218,820.90/x
  3. Step 3: Cross multiply
    458,401.28x = 687,742.68 × 218,820.90
  4. Step 4: Simplify right side
    458,401.28x = 150,492,472,206.01
  5. Step 5: Solve for x
    x = 150,492,472,206.01/458,401.28
  6. Step 6: Final answer
    x = 328,298.54

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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.