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Finding the Fourth Proportional to 285,328.67, 393,739.33 and 164,462.63

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Solution

The fourth proportional to 285,328.67, 393,739.33 and 164,462.63 is: 226,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,328.67 : 393,739.33 = 164,462.63 : x
  2. Step 2: Convert to fraction form
    285,328.67/393,739.33 = 164,462.63/x
  3. Step 3: Cross multiply
    285,328.67x = 393,739.33 × 164,462.63
  4. Step 4: Simplify right side
    285,328.67x = 64,755,404,923.92
  5. Step 5: Solve for x
    x = 64,755,404,923.92/285,328.67
  6. Step 6: Final answer
    x = 226,950.22

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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.