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Finding the Fourth Proportional to 381,031.35, 525,829.35 and 208,965.07

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Solution

The fourth proportional to 381,031.35, 525,829.35 and 208,965.07 is: 288,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,031.35 : 525,829.35 = 208,965.07 : x
  2. Step 2: Convert to fraction form
    381,031.35/525,829.35 = 208,965.07/x
  3. Step 3: Cross multiply
    381,031.35x = 525,829.35 × 208,965.07
  4. Step 4: Simplify right side
    381,031.35x = 109,879,966,930.81
  5. Step 5: Solve for x
    x = 109,879,966,930.81/381,031.35
  6. Step 6: Final answer
    x = 288,375.13

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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.