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Finding the Fourth Proportional to 429,285.36, 643,928 and 148,802.56

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Solution

The fourth proportional to 429,285.36, 643,928 and 148,802.56 is: 223,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,285.36 : 643,928 = 148,802.56 : x
  2. Step 2: Convert to fraction form
    429,285.36/643,928 = 148,802.56/x
  3. Step 3: Cross multiply
    429,285.36x = 643,928 × 148,802.56
  4. Step 4: Simplify right side
    429,285.36x = 95,818,134,855.68
  5. Step 5: Solve for x
    x = 95,818,134,855.68/429,285.36
  6. Step 6: Final answer
    x = 223,203.83

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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.