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Finding the Fourth Proportional to 301,305.84, 452,031.84 and 90,931.20

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Solution

The fourth proportional to 301,305.84, 452,031.84 and 90,931.20 is: 136,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,305.84 : 452,031.84 = 90,931.20 : x
  2. Step 2: Convert to fraction form
    301,305.84/452,031.84 = 90,931.20/x
  3. Step 3: Cross multiply
    301,305.84x = 452,031.84 × 90,931.20
  4. Step 4: Simplify right side
    301,305.84x = 41,103,797,649.41
  5. Step 5: Solve for x
    x = 41,103,797,649.41/301,305.84
  6. Step 6: Final answer
    x = 136,418.85

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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.