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Finding the Fourth Proportional to 472,070.96, 651,449.72 and 257,212.79

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Solution

The fourth proportional to 472,070.96, 651,449.72 and 257,212.79 is: 354,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,070.96 : 651,449.72 = 257,212.79 : x
  2. Step 2: Convert to fraction form
    472,070.96/651,449.72 = 257,212.79/x
  3. Step 3: Cross multiply
    472,070.96x = 651,449.72 × 257,212.79
  4. Step 4: Simplify right side
    472,070.96x = 167,561,200,025.92
  5. Step 5: Solve for x
    x = 167,561,200,025.92/472,070.96
  6. Step 6: Final answer
    x = 354,949.18

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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.