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Finding the Fourth Proportional to 508,515, 701,750.70 and 282,196.92

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Solution

The fourth proportional to 508,515, 701,750.70 and 282,196.92 is: 389,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,515 : 701,750.70 = 282,196.92 : x
  2. Step 2: Convert to fraction form
    508,515/701,750.70 = 282,196.92/x
  3. Step 3: Cross multiply
    508,515x = 701,750.70 × 282,196.92
  4. Step 4: Simplify right side
    508,515x = 198,031,886,147.84
  5. Step 5: Solve for x
    x = 198,031,886,147.84/508,515
  6. Step 6: Final answer
    x = 389,431.75

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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.