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Finding the Fourth Proportional to 402,970.76, 556,082.12 and 221,671.20

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Solution

The fourth proportional to 402,970.76, 556,082.12 and 221,671.20 is: 305,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,970.76 : 556,082.12 = 221,671.20 : x
  2. Step 2: Convert to fraction form
    402,970.76/556,082.12 = 221,671.20/x
  3. Step 3: Cross multiply
    402,970.76x = 556,082.12 × 221,671.20
  4. Step 4: Simplify right side
    402,970.76x = 123,267,391,393.12
  5. Step 5: Solve for x
    x = 123,267,391,393.12/402,970.76
  6. Step 6: Final answer
    x = 305,896.61

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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.