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Finding the Fourth Proportional to 429,767.32, 644,930.70 and 163,530.04

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Solution

The fourth proportional to 429,767.32, 644,930.70 and 163,530.04 is: 245,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,767.32 : 644,930.70 = 163,530.04 : x
  2. Step 2: Convert to fraction form
    429,767.32/644,930.70 = 163,530.04/x
  3. Step 3: Cross multiply
    429,767.32x = 644,930.70 × 163,530.04
  4. Step 4: Simplify right side
    429,767.32x = 105,465,543,168.23
  5. Step 5: Solve for x
    x = 105,465,543,168.23/429,767.32
  6. Step 6: Final answer
    x = 245,401.50

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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.