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Finding the Fourth Proportional to 546,871.20, 820,792.80 and 321,950.40

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Solution

The fourth proportional to 546,871.20, 820,792.80 and 321,950.40 is: 483,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,871.20 : 820,792.80 = 321,950.40 : x
  2. Step 2: Convert to fraction form
    546,871.20/820,792.80 = 321,950.40/x
  3. Step 3: Cross multiply
    546,871.20x = 820,792.80 × 321,950.40
  4. Step 4: Simplify right side
    546,871.20x = 264,254,570,277.12
  5. Step 5: Solve for x
    x = 264,254,570,277.12/546,871.20
  6. Step 6: Final answer
    x = 483,211.71

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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.