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Finding the Fourth Proportional to 429,287.76, 643,924.08 and 148,800.96

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Solution

The fourth proportional to 429,287.76, 643,924.08 and 148,800.96 is: 223,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,287.76 : 643,924.08 = 148,800.96 : x
  2. Step 2: Convert to fraction form
    429,287.76/643,924.08 = 148,800.96/x
  3. Step 3: Cross multiply
    429,287.76x = 643,924.08 × 148,800.96
  4. Step 4: Simplify right side
    429,287.76x = 95,816,521,271.12
  5. Step 5: Solve for x
    x = 95,816,521,271.12/429,287.76
  6. Step 6: Final answer
    x = 223,198.82

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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.