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Finding the Fourth Proportional to 285,818.60, 394,401.24 and 164,998.80

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Solution

The fourth proportional to 285,818.60, 394,401.24 and 164,998.80 is: 227,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,818.60 : 394,401.24 = 164,998.80 : x
  2. Step 2: Convert to fraction form
    285,818.60/394,401.24 = 164,998.80/x
  3. Step 3: Cross multiply
    285,818.60x = 394,401.24 × 164,998.80
  4. Step 4: Simplify right side
    285,818.60x = 65,075,731,318.51
  5. Step 5: Solve for x
    x = 65,075,731,318.51/285,818.60
  6. Step 6: Final answer
    x = 227,681.93

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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.