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Finding the Fourth Proportional to 243,258.36, 364,865.28 and 172,484.64

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Solution

The fourth proportional to 243,258.36, 364,865.28 and 172,484.64 is: 258,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,258.36 : 364,865.28 = 172,484.64 : x
  2. Step 2: Convert to fraction form
    243,258.36/364,865.28 = 172,484.64/x
  3. Step 3: Cross multiply
    243,258.36x = 364,865.28 × 172,484.64
  4. Step 4: Simplify right side
    243,258.36x = 62,933,656,469.30
  5. Step 5: Solve for x
    x = 62,933,656,469.30/243,258.36
  6. Step 6: Final answer
    x = 258,711.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.