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Finding the Fourth Proportional to 375,100.32, 517,643.82 and 211,765.08

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Solution

The fourth proportional to 375,100.32, 517,643.82 and 211,765.08 is: 292,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,100.32 : 517,643.82 = 211,765.08 : x
  2. Step 2: Convert to fraction form
    375,100.32/517,643.82 = 211,765.08/x
  3. Step 3: Cross multiply
    375,100.32x = 517,643.82 × 211,765.08
  4. Step 4: Simplify right side
    375,100.32x = 109,618,884,953.81
  5. Step 5: Solve for x
    x = 109,618,884,953.81/375,100.32
  6. Step 6: Final answer
    x = 292,238.85

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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.