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Finding the Fourth Proportional to 805,274, 1,111,299.30 and 442,706.98

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Solution

The fourth proportional to 805,274, 1,111,299.30 and 442,706.98 is: 610,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,274 : 1,111,299.30 = 442,706.98 : x
  2. Step 2: Convert to fraction form
    805,274/1,111,299.30 = 442,706.98/x
  3. Step 3: Cross multiply
    805,274x = 1,111,299.30 × 442,706.98
  4. Step 4: Simplify right side
    805,274x = 491,979,956,979.11
  5. Step 5: Solve for x
    x = 491,979,956,979.11/805,274
  6. Step 6: Final answer
    x = 610,947.28

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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.