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Finding the Fourth Proportional to 379,202, 523,298.76 and 209,447.06

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Solution

The fourth proportional to 379,202, 523,298.76 and 209,447.06 is: 289,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,202 : 523,298.76 = 209,447.06 : x
  2. Step 2: Convert to fraction form
    379,202/523,298.76 = 209,447.06/x
  3. Step 3: Cross multiply
    379,202x = 523,298.76 × 209,447.06
  4. Step 4: Simplify right side
    379,202x = 109,603,386,783.65
  5. Step 5: Solve for x
    x = 109,603,386,783.65/379,202
  6. Step 6: Final answer
    x = 289,036.94

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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.