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Finding the Fourth Proportional to 472,587.96, 708,920.34 and 140,163

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Solution

The fourth proportional to 472,587.96, 708,920.34 and 140,163 is: 210,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,587.96 : 708,920.34 = 140,163 : x
  2. Step 2: Convert to fraction form
    472,587.96/708,920.34 = 140,163/x
  3. Step 3: Cross multiply
    472,587.96x = 708,920.34 × 140,163
  4. Step 4: Simplify right side
    472,587.96x = 99,364,401,615.42
  5. Step 5: Solve for x
    x = 99,364,401,615.42/472,587.96
  6. Step 6: Final answer
    x = 210,255.89

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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.