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Finding the Fourth Proportional to 400,712.42, 552,989.94 and 219,421.46

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Solution

The fourth proportional to 400,712.42, 552,989.94 and 219,421.46 is: 302,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,712.42 : 552,989.94 = 219,421.46 : x
  2. Step 2: Convert to fraction form
    400,712.42/552,989.94 = 219,421.46/x
  3. Step 3: Cross multiply
    400,712.42x = 552,989.94 × 219,421.46
  4. Step 4: Simplify right side
    400,712.42x = 121,337,860,000.11
  5. Step 5: Solve for x
    x = 121,337,860,000.11/400,712.42
  6. Step 6: Final answer
    x = 302,805.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.