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Finding the Fourth Proportional to 321,038.10, 443,020.32 and 175,841.55

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Solution

The fourth proportional to 321,038.10, 443,020.32 and 175,841.55 is: 242,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,038.10 : 443,020.32 = 175,841.55 : x
  2. Step 2: Convert to fraction form
    321,038.10/443,020.32 = 175,841.55/x
  3. Step 3: Cross multiply
    321,038.10x = 443,020.32 × 175,841.55
  4. Step 4: Simplify right side
    321,038.10x = 77,901,379,750.30
  5. Step 5: Solve for x
    x = 77,901,379,750.30/321,038.10
  6. Step 6: Final answer
    x = 242,654.62

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1.5x scale

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.