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Finding the Fourth Proportional to 434,843.20, 652,264.80 and 210,311.20

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Solution

The fourth proportional to 434,843.20, 652,264.80 and 210,311.20 is: 315,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,843.20 : 652,264.80 = 210,311.20 : x
  2. Step 2: Convert to fraction form
    434,843.20/652,264.80 = 210,311.20/x
  3. Step 3: Cross multiply
    434,843.20x = 652,264.80 × 210,311.20
  4. Step 4: Simplify right side
    434,843.20x = 137,178,592,805.76
  5. Step 5: Solve for x
    x = 137,178,592,805.76/434,843.20
  6. Step 6: Final answer
    x = 315,466.80

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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.