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Finding the Fourth Proportional to 286,429.20, 429,060.60 and 146,266.80

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Solution

The fourth proportional to 286,429.20, 429,060.60 and 146,266.80 is: 219,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,429.20 : 429,060.60 = 146,266.80 : x
  2. Step 2: Convert to fraction form
    286,429.20/429,060.60 = 146,266.80/x
  3. Step 3: Cross multiply
    286,429.20x = 429,060.60 × 146,266.80
  4. Step 4: Simplify right side
    286,429.20x = 62,757,320,968.08
  5. Step 5: Solve for x
    x = 62,757,320,968.08/286,429.20
  6. Step 6: Final answer
    x = 219,102.39

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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.