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Finding the Fourth Proportional to 432,006.60, 647,702.70 and 165,664.20

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Solution

The fourth proportional to 432,006.60, 647,702.70 and 165,664.20 is: 248,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,006.60 : 647,702.70 = 165,664.20 : x
  2. Step 2: Convert to fraction form
    432,006.60/647,702.70 = 165,664.20/x
  3. Step 3: Cross multiply
    432,006.60x = 647,702.70 × 165,664.20
  4. Step 4: Simplify right side
    432,006.60x = 107,301,149,633.34
  5. Step 5: Solve for x
    x = 107,301,149,633.34/432,006.60
  6. Step 6: Final answer
    x = 248,378.50

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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.