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Finding the Fourth Proportional to 300,402.88, 414,547.74 and 171,338.44

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Solution

The fourth proportional to 300,402.88, 414,547.74 and 171,338.44 is: 236,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,402.88 : 414,547.74 = 171,338.44 : x
  2. Step 2: Convert to fraction form
    300,402.88/414,547.74 = 171,338.44/x
  3. Step 3: Cross multiply
    300,402.88x = 414,547.74 × 171,338.44
  4. Step 4: Simplify right side
    300,402.88x = 71,027,963,077.13
  5. Step 5: Solve for x
    x = 71,027,963,077.13/300,402.88
  6. Step 6: Final answer
    x = 236,442.35

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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.