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Finding the Fourth Proportional to 547,466.40, 820,810.80 and 210,376.80

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Solution

The fourth proportional to 547,466.40, 820,810.80 and 210,376.80 is: 315,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,466.40 : 820,810.80 = 210,376.80 : x
  2. Step 2: Convert to fraction form
    547,466.40/820,810.80 = 210,376.80/x
  3. Step 3: Cross multiply
    547,466.40x = 820,810.80 × 210,376.80
  4. Step 4: Simplify right side
    547,466.40x = 172,679,549,509.44
  5. Step 5: Solve for x
    x = 172,679,549,509.44/547,466.40
  6. Step 6: Final answer
    x = 315,415.79

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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.