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Finding the Fourth Proportional to 402,920.16, 556,043.04 and 221,646

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Solution

The fourth proportional to 402,920.16, 556,043.04 and 221,646 is: 305,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,920.16 : 556,043.04 = 221,646 : x
  2. Step 2: Convert to fraction form
    402,920.16/556,043.04 = 221,646/x
  3. Step 3: Cross multiply
    402,920.16x = 556,043.04 × 221,646
  4. Step 4: Simplify right side
    402,920.16x = 123,244,715,643.84
  5. Step 5: Solve for x
    x = 123,244,715,643.84/402,920.16
  6. Step 6: Final answer
    x = 305,878.75

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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.