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Finding the Fourth Proportional to 348,031.20, 521,269.20 and 285,823.20

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Solution

The fourth proportional to 348,031.20, 521,269.20 and 285,823.20 is: 428,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,031.20 : 521,269.20 = 285,823.20 : x
  2. Step 2: Convert to fraction form
    348,031.20/521,269.20 = 285,823.20/x
  3. Step 3: Cross multiply
    348,031.20x = 521,269.20 × 285,823.20
  4. Step 4: Simplify right side
    348,031.20x = 148,990,830,805.44
  5. Step 5: Solve for x
    x = 148,990,830,805.44/348,031.20
  6. Step 6: Final answer
    x = 428,096.19

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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.