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Finding the Fourth Proportional to 286,427.20, 429,057.60 and 146,264.80

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Solution

The fourth proportional to 286,427.20, 429,057.60 and 146,264.80 is: 219,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,427.20 : 429,057.60 = 146,264.80 : x
  2. Step 2: Convert to fraction form
    286,427.20/429,057.60 = 146,264.80/x
  3. Step 3: Cross multiply
    286,427.20x = 429,057.60 × 146,264.80
  4. Step 4: Simplify right side
    286,427.20x = 62,756,024,052.48
  5. Step 5: Solve for x
    x = 62,756,024,052.48/286,427.20
  6. Step 6: Final answer
    x = 219,099.39

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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.