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Finding the Fourth Proportional to 228,342.60, 342,611.10 and 144,167.40

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Solution

The fourth proportional to 228,342.60, 342,611.10 and 144,167.40 is: 216,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,342.60 : 342,611.10 = 144,167.40 : x
  2. Step 2: Convert to fraction form
    228,342.60/342,611.10 = 144,167.40/x
  3. Step 3: Cross multiply
    228,342.60x = 342,611.10 × 144,167.40
  4. Step 4: Simplify right side
    228,342.60x = 49,393,351,498.14
  5. Step 5: Solve for x
    x = 49,393,351,498.14/228,342.60
  6. Step 6: Final answer
    x = 216,312.47

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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.