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Finding the Fourth Proportional to 285,740.98, 394,303.29 and 164,887.30

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Solution

The fourth proportional to 285,740.98, 394,303.29 and 164,887.30 is: 227,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,740.98 : 394,303.29 = 164,887.30 : x
  2. Step 2: Convert to fraction form
    285,740.98/394,303.29 = 164,887.30/x
  3. Step 3: Cross multiply
    285,740.98x = 394,303.29 × 164,887.30
  4. Step 4: Simplify right side
    285,740.98x = 65,015,604,869.22
  5. Step 5: Solve for x
    x = 65,015,604,869.22/285,740.98
  6. Step 6: Final answer
    x = 227,533.36

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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.