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Finding the Fourth Proportional to 516,048.64, 712,144.28 and 289,694.08

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Solution

The fourth proportional to 516,048.64, 712,144.28 and 289,694.08 is: 399,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,048.64 : 712,144.28 = 289,694.08 : x
  2. Step 2: Convert to fraction form
    516,048.64/712,144.28 = 289,694.08/x
  3. Step 3: Cross multiply
    516,048.64x = 712,144.28 × 289,694.08
  4. Step 4: Simplify right side
    516,048.64x = 206,303,982,021.86
  5. Step 5: Solve for x
    x = 206,303,982,021.86/516,048.64
  6. Step 6: Final answer
    x = 399,776.23

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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.