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Finding the Fourth Proportional to 472,005.40, 708,411.30 and 191,723.80

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Solution

The fourth proportional to 472,005.40, 708,411.30 and 191,723.80 is: 287,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,005.40 : 708,411.30 = 191,723.80 : x
  2. Step 2: Convert to fraction form
    472,005.40/708,411.30 = 191,723.80/x
  3. Step 3: Cross multiply
    472,005.40x = 708,411.30 × 191,723.80
  4. Step 4: Simplify right side
    472,005.40x = 135,819,306,398.94
  5. Step 5: Solve for x
    x = 135,819,306,398.94/472,005.40
  6. Step 6: Final answer
    x = 287,749.48

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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.