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Finding the Fourth Proportional to 434,471.20, 651,415.20 and 209,939.20

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Solution

The fourth proportional to 434,471.20, 651,415.20 and 209,939.20 is: 314,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,471.20 : 651,415.20 = 209,939.20 : x
  2. Step 2: Convert to fraction form
    434,471.20/651,415.20 = 209,939.20/x
  3. Step 3: Cross multiply
    434,471.20x = 651,415.20 × 209,939.20
  4. Step 4: Simplify right side
    434,471.20x = 136,757,585,955.84
  5. Step 5: Solve for x
    x = 136,757,585,955.84/434,471.20
  6. Step 6: Final answer
    x = 314,767.90

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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.