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Finding the Fourth Proportional to 432,357.72, 648,789.30 and 312,296.28

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Solution

The fourth proportional to 432,357.72, 648,789.30 and 312,296.28 is: 468,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,357.72 : 648,789.30 = 312,296.28 : x
  2. Step 2: Convert to fraction form
    432,357.72/648,789.30 = 312,296.28/x
  3. Step 3: Cross multiply
    432,357.72x = 648,789.30 × 312,296.28
  4. Step 4: Simplify right side
    432,357.72x = 202,614,484,893.80
  5. Step 5: Solve for x
    x = 202,614,484,893.80/432,357.72
  6. Step 6: Final answer
    x = 468,626.96

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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.