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Finding the Fourth Proportional to 546,878.20, 820,317.30 and 322,007.80

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Solution

The fourth proportional to 546,878.20, 820,317.30 and 322,007.80 is: 483,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,878.20 : 820,317.30 = 322,007.80 : x
  2. Step 2: Convert to fraction form
    546,878.20/820,317.30 = 322,007.80/x
  3. Step 3: Cross multiply
    546,878.20x = 820,317.30 × 322,007.80
  4. Step 4: Simplify right side
    546,878.20x = 264,148,569,074.94
  5. Step 5: Solve for x
    x = 264,148,569,074.94/546,878.20
  6. Step 6: Final answer
    x = 483,011.70

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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.