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Finding the Fourth Proportional to 402,911.01, 556,024.25 and 221,630.58

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Solution

The fourth proportional to 402,911.01, 556,024.25 and 221,630.58 is: 305,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,911.01 : 556,024.25 = 221,630.58 : x
  2. Step 2: Convert to fraction form
    402,911.01/556,024.25 = 221,630.58/x
  3. Step 3: Cross multiply
    402,911.01x = 556,024.25 × 221,630.58
  4. Step 4: Simplify right side
    402,911.01x = 123,231,976,328.97
  5. Step 5: Solve for x
    x = 123,231,976,328.97/402,911.01
  6. Step 6: Final answer
    x = 305,854.08

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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.