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Finding the Fourth Proportional to 296,642.43, 409,253.55 and 219,303.78

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Solution

The fourth proportional to 296,642.43, 409,253.55 and 219,303.78 is: 302,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,642.43 : 409,253.55 = 219,303.78 : x
  2. Step 2: Convert to fraction form
    296,642.43/409,253.55 = 219,303.78/x
  3. Step 3: Cross multiply
    296,642.43x = 409,253.55 × 219,303.78
  4. Step 4: Simplify right side
    296,642.43x = 89,750,850,493.42
  5. Step 5: Solve for x
    x = 89,750,850,493.42/296,642.43
  6. Step 6: Final answer
    x = 302,555.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.