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Finding the Fourth Proportional to 472,165.20, 708,420.60 and 191,710.80

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Solution

The fourth proportional to 472,165.20, 708,420.60 and 191,710.80 is: 287,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,165.20 : 708,420.60 = 191,710.80 : x
  2. Step 2: Convert to fraction form
    472,165.20/708,420.60 = 191,710.80/x
  3. Step 3: Cross multiply
    472,165.20x = 708,420.60 × 191,710.80
  4. Step 4: Simplify right side
    472,165.20x = 135,811,879,962.48
  5. Step 5: Solve for x
    x = 135,811,879,962.48/472,165.20
  6. Step 6: Final answer
    x = 287,636.36

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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.