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Finding the Fourth Proportional to 340,717.76, 470,191.20 and 189,820.16

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Solution

The fourth proportional to 340,717.76, 470,191.20 and 189,820.16 is: 261,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,717.76 : 470,191.20 = 189,820.16 : x
  2. Step 2: Convert to fraction form
    340,717.76/470,191.20 = 189,820.16/x
  3. Step 3: Cross multiply
    340,717.76x = 470,191.20 × 189,820.16
  4. Step 4: Simplify right side
    340,717.76x = 89,251,768,814.59
  5. Step 5: Solve for x
    x = 89,251,768,814.59/340,717.76
  6. Step 6: Final answer
    x = 261,952.21

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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.