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Finding the Fourth Proportional to 277,438, 382,823.36 and 168,485.66

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Solution

The fourth proportional to 277,438, 382,823.36 and 168,485.66 is: 232,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,438 : 382,823.36 = 168,485.66 : x
  2. Step 2: Convert to fraction form
    277,438/382,823.36 = 168,485.66/x
  3. Step 3: Cross multiply
    277,438x = 382,823.36 × 168,485.66
  4. Step 4: Simplify right side
    277,438x = 64,500,246,473.02
  5. Step 5: Solve for x
    x = 64,500,246,473.02/277,438
  6. Step 6: Final answer
    x = 232,485.26

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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.