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Finding the Fourth Proportional to 340,814.82, 470,326.32 and 197,659.74

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Solution

The fourth proportional to 340,814.82, 470,326.32 and 197,659.74 is: 272,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,814.82 : 470,326.32 = 197,659.74 : x
  2. Step 2: Convert to fraction form
    340,814.82/470,326.32 = 197,659.74/x
  3. Step 3: Cross multiply
    340,814.82x = 470,326.32 × 197,659.74
  4. Step 4: Simplify right side
    340,814.82x = 92,964,578,126.36
  5. Step 5: Solve for x
    x = 92,964,578,126.36/340,814.82
  6. Step 6: Final answer
    x = 272,771.52

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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.