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Finding the Fourth Proportional to 429,340.02, 644,305.30 and 148,857.28

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Solution

The fourth proportional to 429,340.02, 644,305.30 and 148,857.28 is: 223,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,340.02 : 644,305.30 = 148,857.28 : x
  2. Step 2: Convert to fraction form
    429,340.02/644,305.30 = 148,857.28/x
  3. Step 3: Cross multiply
    429,340.02x = 644,305.30 × 148,857.28
  4. Step 4: Simplify right side
    429,340.02x = 95,909,534,447.58
  5. Step 5: Solve for x
    x = 95,909,534,447.58/429,340.02
  6. Step 6: Final answer
    x = 223,388.29

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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.