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Finding the Fourth Proportional to 430,175.84, 644,703.12 and 219,636.32

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Solution

The fourth proportional to 430,175.84, 644,703.12 and 219,636.32 is: 329,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,175.84 : 644,703.12 = 219,636.32 : x
  2. Step 2: Convert to fraction form
    430,175.84/644,703.12 = 219,636.32/x
  3. Step 3: Cross multiply
    430,175.84x = 644,703.12 × 219,636.32
  4. Step 4: Simplify right side
    430,175.84x = 141,600,220,769.32
  5. Step 5: Solve for x
    x = 141,600,220,769.32/430,175.84
  6. Step 6: Final answer
    x = 329,168.23

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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.