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Finding the Fourth Proportional to 228,492.36, 342,808.61 and 102,238.88

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Solution

The fourth proportional to 228,492.36, 342,808.61 and 102,238.88 is: 153,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,492.36 : 342,808.61 = 102,238.88 : x
  2. Step 2: Convert to fraction form
    228,492.36/342,808.61 = 102,238.88/x
  3. Step 3: Cross multiply
    228,492.36x = 342,808.61 × 102,238.88
  4. Step 4: Simplify right side
    228,492.36x = 35,048,366,115.52
  5. Step 5: Solve for x
    x = 35,048,366,115.52/228,492.36
  6. Step 6: Final answer
    x = 153,389.66

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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.