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Finding the Fourth Proportional to 422,754, 583,706.70 and 272,113.44

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Solution

The fourth proportional to 422,754, 583,706.70 and 272,113.44 is: 375,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,754 : 583,706.70 = 272,113.44 : x
  2. Step 2: Convert to fraction form
    422,754/583,706.70 = 272,113.44/x
  3. Step 3: Cross multiply
    422,754x = 583,706.70 × 272,113.44
  4. Step 4: Simplify right side
    422,754x = 158,834,438,088.05
  5. Step 5: Solve for x
    x = 158,834,438,088.05/422,754
  6. Step 6: Final answer
    x = 375,713.63

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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.