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Finding the Fourth Proportional to 472,377.42, 651,684.54 and 278,708.22

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Solution

The fourth proportional to 472,377.42, 651,684.54 and 278,708.22 is: 384,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,377.42 : 651,684.54 = 278,708.22 : x
  2. Step 2: Convert to fraction form
    472,377.42/651,684.54 = 278,708.22/x
  3. Step 3: Cross multiply
    472,377.42x = 651,684.54 × 278,708.22
  4. Step 4: Simplify right side
    472,377.42x = 181,629,838,144.92
  5. Step 5: Solve for x
    x = 181,629,838,144.92/472,377.42
  6. Step 6: Final answer
    x = 384,501.52

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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.