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Finding the Fourth Proportional to 379,864.08, 569,543.00 and 209,166.20

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Solution

The fourth proportional to 379,864.08, 569,543.00 and 209,166.20 is: 313,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,864.08 : 569,543.00 = 209,166.20 : x
  2. Step 2: Convert to fraction form
    379,864.08/569,543.00 = 209,166.20/x
  3. Step 3: Cross multiply
    379,864.08x = 569,543.00 × 209,166.20
  4. Step 4: Simplify right side
    379,864.08x = 119,129,143,288.84
  5. Step 5: Solve for x
    x = 119,129,143,288.84/379,864.08
  6. Step 6: Final answer
    x = 313,609.92

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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.