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Finding the Fourth Proportional to 323,068.10, 445,830.69 and 177,869.30

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Solution

The fourth proportional to 323,068.10, 445,830.69 and 177,869.30 is: 245,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,068.10 : 445,830.69 = 177,869.30 : x
  2. Step 2: Convert to fraction form
    323,068.10/445,830.69 = 177,869.30/x
  3. Step 3: Cross multiply
    323,068.10x = 445,830.69 × 177,869.30
  4. Step 4: Simplify right side
    323,068.10x = 79,299,592,748.82
  5. Step 5: Solve for x
    x = 79,299,592,748.82/323,068.10
  6. Step 6: Final answer
    x = 245,457.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.