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Finding the Fourth Proportional to 227,312.34, 340,956.10 and 69,540.78

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Solution

The fourth proportional to 227,312.34, 340,956.10 and 69,540.78 is: 104,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,312.34 : 340,956.10 = 69,540.78 : x
  2. Step 2: Convert to fraction form
    227,312.34/340,956.10 = 69,540.78/x
  3. Step 3: Cross multiply
    227,312.34x = 340,956.10 × 69,540.78
  4. Step 4: Simplify right side
    227,312.34x = 23,710,353,139.76
  5. Step 5: Solve for x
    x = 23,710,353,139.76/227,312.34
  6. Step 6: Final answer
    x = 104,307.37

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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.