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Finding the Fourth Proportional to 472,251.72, 651,688.29 and 257,387.16

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Solution

The fourth proportional to 472,251.72, 651,688.29 and 257,387.16 is: 355,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,251.72 : 651,688.29 = 257,387.16 : x
  2. Step 2: Convert to fraction form
    472,251.72/651,688.29 = 257,387.16/x
  3. Step 3: Cross multiply
    472,251.72x = 651,688.29 × 257,387.16
  4. Step 4: Simplify right side
    472,251.72x = 167,736,198,168.36
  5. Step 5: Solve for x
    x = 167,736,198,168.36/472,251.72
  6. Step 6: Final answer
    x = 355,183.88

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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.