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Finding the Fourth Proportional to 513,997.32, 709,390.54 and 296,164.30

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Solution

The fourth proportional to 513,997.32, 709,390.54 and 296,164.30 is: 408,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,997.32 : 709,390.54 = 296,164.30 : x
  2. Step 2: Convert to fraction form
    513,997.32/709,390.54 = 296,164.30/x
  3. Step 3: Cross multiply
    513,997.32x = 709,390.54 × 296,164.30
  4. Step 4: Simplify right side
    513,997.32x = 210,096,152,705.72
  5. Step 5: Solve for x
    x = 210,096,152,705.72/513,997.32
  6. Step 6: Final answer
    x = 408,749.51

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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.