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Finding the Fourth Proportional to 402,722.14, 555,742.32 and 221,432.80

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Solution

The fourth proportional to 402,722.14, 555,742.32 and 221,432.80 is: 305,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,722.14 : 555,742.32 = 221,432.80 : x
  2. Step 2: Convert to fraction form
    402,722.14/555,742.32 = 221,432.80/x
  3. Step 3: Cross multiply
    402,722.14x = 555,742.32 × 221,432.80
  4. Step 4: Simplify right side
    402,722.14x = 123,059,577,996.10
  5. Step 5: Solve for x
    x = 123,059,577,996.10/402,722.14
  6. Step 6: Final answer
    x = 305,569.44

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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.