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Finding the Fourth Proportional to 301,374.28, 415,953.84 and 199,401.76

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Solution

The fourth proportional to 301,374.28, 415,953.84 and 199,401.76 is: 275,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,374.28 : 415,953.84 = 199,401.76 : x
  2. Step 2: Convert to fraction form
    301,374.28/415,953.84 = 199,401.76/x
  3. Step 3: Cross multiply
    301,374.28x = 415,953.84 × 199,401.76
  4. Step 4: Simplify right side
    301,374.28x = 82,941,927,774.76
  5. Step 5: Solve for x
    x = 82,941,927,774.76/301,374.28
  6. Step 6: Final answer
    x = 275,212.36

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1.5x scale

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.