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Finding the Fourth Proportional to 714,297.21, 985,699.10 and 392,012.66

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Solution

The fourth proportional to 714,297.21, 985,699.10 and 392,012.66 is: 540,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,297.21 : 985,699.10 = 392,012.66 : x
  2. Step 2: Convert to fraction form
    714,297.21/985,699.10 = 392,012.66/x
  3. Step 3: Cross multiply
    714,297.21x = 985,699.10 × 392,012.66
  4. Step 4: Simplify right side
    714,297.21x = 386,406,519,262.05
  5. Step 5: Solve for x
    x = 386,406,519,262.05/714,297.21
  6. Step 6: Final answer
    x = 540,960.42

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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.