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Finding the Fourth Proportional to 805,215, 1,111,210.74 and 442,654.14

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Solution

The fourth proportional to 805,215, 1,111,210.74 and 442,654.14 is: 610,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,215 : 1,111,210.74 = 442,654.14 : x
  2. Step 2: Convert to fraction form
    805,215/1,111,210.74 = 442,654.14/x
  3. Step 3: Cross multiply
    805,215x = 1,111,210.74 × 442,654.14
  4. Step 4: Simplify right side
    805,215x = 491,882,034,473.46
  5. Step 5: Solve for x
    x = 491,882,034,473.46/805,215
  6. Step 6: Final answer
    x = 610,870.43

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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.