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Finding the Fourth Proportional to 283,012.66, 390,533.83 and 166,707.66

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Solution

The fourth proportional to 283,012.66, 390,533.83 and 166,707.66 is: 230,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,012.66 : 390,533.83 = 166,707.66 : x
  2. Step 2: Convert to fraction form
    283,012.66/390,533.83 = 166,707.66/x
  3. Step 3: Cross multiply
    283,012.66x = 390,533.83 × 166,707.66
  4. Step 4: Simplify right side
    283,012.66x = 65,104,981,837.22
  5. Step 5: Solve for x
    x = 65,104,981,837.22/283,012.66
  6. Step 6: Final answer
    x = 230,042.65

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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.