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Finding the Fourth Proportional to 474,447.21, 711,707.28 and 137,492.47

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Solution

The fourth proportional to 474,447.21, 711,707.28 and 137,492.47 is: 206,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,447.21 : 711,707.28 = 137,492.47 : x
  2. Step 2: Convert to fraction form
    474,447.21/711,707.28 = 137,492.47/x
  3. Step 3: Cross multiply
    474,447.21x = 711,707.28 × 137,492.47
  4. Step 4: Simplify right side
    474,447.21x = 97,854,391,844.18
  5. Step 5: Solve for x
    x = 97,854,391,844.18/474,447.21
  6. Step 6: Final answer
    x = 206,249.27

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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.