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Finding the Fourth Proportional to 422,706.09, 583,335.78 and 229,116.95

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Solution

The fourth proportional to 422,706.09, 583,335.78 and 229,116.95 is: 316,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,706.09 : 583,335.78 = 229,116.95 : x
  2. Step 2: Convert to fraction form
    422,706.09/583,335.78 = 229,116.95/x
  3. Step 3: Cross multiply
    422,706.09x = 583,335.78 × 229,116.95
  4. Step 4: Simplify right side
    422,706.09x = 133,652,116,432.38
  5. Step 5: Solve for x
    x = 133,652,116,432.38/422,706.09
  6. Step 6: Final answer
    x = 316,182.14

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1.5x scale

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.