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Finding the Fourth Proportional to 379,706.72, 569,475.64 and 109,775.90

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Solution

The fourth proportional to 379,706.72, 569,475.64 and 109,775.90 is: 164,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,706.72 : 569,475.64 = 109,775.90 : x
  2. Step 2: Convert to fraction form
    379,706.72/569,475.64 = 109,775.90/x
  3. Step 3: Cross multiply
    379,706.72x = 569,475.64 × 109,775.90
  4. Step 4: Simplify right side
    379,706.72x = 62,514,700,909.08
  5. Step 5: Solve for x
    x = 62,514,700,909.08/379,706.72
  6. Step 6: Final answer
    x = 164,639.44

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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.