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Finding the Fourth Proportional to 502,713.47, 693,667.22 and 298,688.87

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Solution

The fourth proportional to 502,713.47, 693,667.22 and 298,688.87 is: 412,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,713.47 : 693,667.22 = 298,688.87 : x
  2. Step 2: Convert to fraction form
    502,713.47/693,667.22 = 298,688.87/x
  3. Step 3: Cross multiply
    502,713.47x = 693,667.22 × 298,688.87
  4. Step 4: Simplify right side
    502,713.47x = 207,190,673,136.06
  5. Step 5: Solve for x
    x = 207,190,673,136.06/502,713.47
  6. Step 6: Final answer
    x = 412,144.67

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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.