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Finding the Fourth Proportional to 472,238.70, 708,530.85 and 191,784.30

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Solution

The fourth proportional to 472,238.70, 708,530.85 and 191,784.30 is: 287,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,238.70 : 708,530.85 = 191,784.30 : x
  2. Step 2: Convert to fraction form
    472,238.70/708,530.85 = 191,784.30/x
  3. Step 3: Cross multiply
    472,238.70x = 708,530.85 × 191,784.30
  4. Step 4: Simplify right side
    472,238.70x = 135,885,093,095.66
  5. Step 5: Solve for x
    x = 135,885,093,095.66/472,238.70
  6. Step 6: Final answer
    x = 287,746.63

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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.