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Finding the Fourth Proportional to 301,421.28, 416,018.76 and 199,448.76

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Solution

The fourth proportional to 301,421.28, 416,018.76 and 199,448.76 is: 275,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,421.28 : 416,018.76 = 199,448.76 : x
  2. Step 2: Convert to fraction form
    301,421.28/416,018.76 = 199,448.76/x
  3. Step 3: Cross multiply
    301,421.28x = 416,018.76 × 199,448.76
  4. Step 4: Simplify right side
    301,421.28x = 82,974,425,818.74
  5. Step 5: Solve for x
    x = 82,974,425,818.74/301,421.28
  6. Step 6: Final answer
    x = 275,277.27

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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.