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Finding the Fourth Proportional to 472,429.86, 651,944.43 and 257,571.78

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Solution

The fourth proportional to 472,429.86, 651,944.43 and 257,571.78 is: 355,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,429.86 : 651,944.43 = 257,571.78 : x
  2. Step 2: Convert to fraction form
    472,429.86/651,944.43 = 257,571.78/x
  3. Step 3: Cross multiply
    472,429.86x = 651,944.43 × 257,571.78
  4. Step 4: Simplify right side
    472,429.86x = 167,922,487,296.19
  5. Step 5: Solve for x
    x = 167,922,487,296.19/472,429.86
  6. Step 6: Final answer
    x = 355,444.27

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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.