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Finding the Fourth Proportional to 286,211.20, 429,630.72 and 227,424.64

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Solution

The fourth proportional to 286,211.20, 429,630.72 and 227,424.64 is: 341,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,211.20 : 429,630.72 = 227,424.64 : x
  2. Step 2: Convert to fraction form
    286,211.20/429,630.72 = 227,424.64/x
  3. Step 3: Cross multiply
    286,211.20x = 429,630.72 × 227,424.64
  4. Step 4: Simplify right side
    286,211.20x = 97,708,611,828.94
  5. Step 5: Solve for x
    x = 97,708,611,828.94/286,211.20
  6. Step 6: Final answer
    x = 341,386.40

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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.