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Finding the Fourth Proportional to 313,633.48, 432,814.56 and 170,393.68

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Solution

The fourth proportional to 313,633.48, 432,814.56 and 170,393.68 is: 235,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,633.48 : 432,814.56 = 170,393.68 : x
  2. Step 2: Convert to fraction form
    313,633.48/432,814.56 = 170,393.68/x
  3. Step 3: Cross multiply
    313,633.48x = 432,814.56 × 170,393.68
  4. Step 4: Simplify right side
    313,633.48x = 73,748,865,635.98
  5. Step 5: Solve for x
    x = 73,748,865,635.98/313,633.48
  6. Step 6: Final answer
    x = 235,143.47

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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.