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Finding the Fourth Proportional to 472,392.60, 708,632.10 and 191,851.80

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Solution

The fourth proportional to 472,392.60, 708,632.10 and 191,851.80 is: 287,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392.60 : 708,632.10 = 191,851.80 : x
  2. Step 2: Convert to fraction form
    472,392.60/708,632.10 = 191,851.80/x
  3. Step 3: Cross multiply
    472,392.60x = 708,632.10 × 191,851.80
  4. Step 4: Simplify right side
    472,392.60x = 135,952,343,922.78
  5. Step 5: Solve for x
    x = 135,952,343,922.78/472,392.60
  6. Step 6: Final answer
    x = 287,795.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.