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Finding the Fourth Proportional to 346,871.60, 520,096.20 and 136,257.20

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Solution

The fourth proportional to 346,871.60, 520,096.20 and 136,257.20 is: 204,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,871.60 : 520,096.20 = 136,257.20 : x
  2. Step 2: Convert to fraction form
    346,871.60/520,096.20 = 136,257.20/x
  3. Step 3: Cross multiply
    346,871.60x = 520,096.20 × 136,257.20
  4. Step 4: Simplify right side
    346,871.60x = 70,866,851,942.64
  5. Step 5: Solve for x
    x = 70,866,851,942.64/346,871.60
  6. Step 6: Final answer
    x = 204,302.84

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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.