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Finding the Fourth Proportional to 402,978.14, 556,110.99 and 221,701.82

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Solution

The fourth proportional to 402,978.14, 556,110.99 and 221,701.82 is: 305,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,978.14 : 556,110.99 = 221,701.82 : x
  2. Step 2: Convert to fraction form
    402,978.14/556,110.99 = 221,701.82/x
  3. Step 3: Cross multiply
    402,978.14x = 556,110.99 × 221,701.82
  4. Step 4: Simplify right side
    402,978.14x = 123,290,818,605.00
  5. Step 5: Solve for x
    x = 123,290,818,605.00/402,978.14
  6. Step 6: Final answer
    x = 305,949.15

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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.