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Finding the Fourth Proportional to 472,217.10, 708,412.05 and 191,762.70

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Solution

The fourth proportional to 472,217.10, 708,412.05 and 191,762.70 is: 287,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,217.10 : 708,412.05 = 191,762.70 : x
  2. Step 2: Convert to fraction form
    472,217.10/708,412.05 = 191,762.70/x
  3. Step 3: Cross multiply
    472,217.10x = 708,412.05 × 191,762.70
  4. Step 4: Simplify right side
    472,217.10x = 135,847,007,420.54
  5. Step 5: Solve for x
    x = 135,847,007,420.54/472,217.10
  6. Step 6: Final answer
    x = 287,679.14

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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.