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Finding the Fourth Proportional to 432,068.55, 647,908.43 and 165,740.55

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Solution

The fourth proportional to 432,068.55, 647,908.43 and 165,740.55 is: 248,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,068.55 : 647,908.43 = 165,740.55 : x
  2. Step 2: Convert to fraction form
    432,068.55/647,908.43 = 165,740.55/x
  3. Step 3: Cross multiply
    432,068.55x = 647,908.43 × 165,740.55
  4. Step 4: Simplify right side
    432,068.55x = 107,384,698,709.13
  5. Step 5: Solve for x
    x = 107,384,698,709.13/432,068.55
  6. Step 6: Final answer
    x = 248,536.25

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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.