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Finding the Fourth Proportional to 290,363.84, 400,765.44 and 208,909.76

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Solution

The fourth proportional to 290,363.84, 400,765.44 and 208,909.76 is: 288,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,363.84 : 400,765.44 = 208,909.76 : x
  2. Step 2: Convert to fraction form
    290,363.84/400,765.44 = 208,909.76/x
  3. Step 3: Cross multiply
    290,363.84x = 400,765.44 × 208,909.76
  4. Step 4: Simplify right side
    290,363.84x = 83,723,811,886.69
  5. Step 5: Solve for x
    x = 83,723,811,886.69/290,363.84
  6. Step 6: Final answer
    x = 288,341.04

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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.