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Finding the Fourth Proportional to 371,896, 513,206.64 and 210,747.04

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Solution

The fourth proportional to 371,896, 513,206.64 and 210,747.04 is: 290,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,896 : 513,206.64 = 210,747.04 : x
  2. Step 2: Convert to fraction form
    371,896/513,206.64 = 210,747.04/x
  3. Step 3: Cross multiply
    371,896x = 513,206.64 × 210,747.04
  4. Step 4: Simplify right side
    371,896x = 108,156,780,288.35
  5. Step 5: Solve for x
    x = 108,156,780,288.35/371,896
  6. Step 6: Final answer
    x = 290,825.34

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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.