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Finding the Fourth Proportional to 285,977.36, 429,043.80 and 99,003.44

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Solution

The fourth proportional to 285,977.36, 429,043.80 and 99,003.44 is: 148,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,977.36 : 429,043.80 = 99,003.44 : x
  2. Step 2: Convert to fraction form
    285,977.36/429,043.80 = 99,003.44/x
  3. Step 3: Cross multiply
    285,977.36x = 429,043.80 × 99,003.44
  4. Step 4: Simplify right side
    285,977.36x = 42,476,812,110.67
  5. Step 5: Solve for x
    x = 42,476,812,110.67/285,977.36
  6. Step 6: Final answer
    x = 148,532.08

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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.