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Finding the Fourth Proportional to 561,455.82, 842,213.97 and 224,547.66

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Solution

The fourth proportional to 561,455.82, 842,213.97 and 224,547.66 is: 336,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,455.82 : 842,213.97 = 224,547.66 : x
  2. Step 2: Convert to fraction form
    561,455.82/842,213.97 = 224,547.66/x
  3. Step 3: Cross multiply
    561,455.82x = 842,213.97 × 224,547.66
  4. Step 4: Simplify right side
    561,455.82x = 189,117,176,182.81
  5. Step 5: Solve for x
    x = 189,117,176,182.81/561,455.82
  6. Step 6: Final answer
    x = 336,833.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.