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Finding the Fourth Proportional to 347,768.40, 521,652.60 and 288,719.40

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Solution

The fourth proportional to 347,768.40, 521,652.60 and 288,719.40 is: 433,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,768.40 : 521,652.60 = 288,719.40 : x
  2. Step 2: Convert to fraction form
    347,768.40/521,652.60 = 288,719.40/x
  3. Step 3: Cross multiply
    347,768.40x = 521,652.60 × 288,719.40
  4. Step 4: Simplify right side
    347,768.40x = 150,611,225,680.44
  5. Step 5: Solve for x
    x = 150,611,225,680.44/347,768.40
  6. Step 6: Final answer
    x = 433,079.10

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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.