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Finding the Fourth Proportional to 285,457.54, 393,931.41 and 158,141.38

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Solution

The fourth proportional to 285,457.54, 393,931.41 and 158,141.38 is: 218,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,457.54 : 393,931.41 = 158,141.38 : x
  2. Step 2: Convert to fraction form
    285,457.54/393,931.41 = 158,141.38/x
  3. Step 3: Cross multiply
    285,457.54x = 393,931.41 × 158,141.38
  4. Step 4: Simplify right side
    285,457.54x = 62,296,856,802.75
  5. Step 5: Solve for x
    x = 62,296,856,802.75/285,457.54
  6. Step 6: Final answer
    x = 218,235.11

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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.