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Finding the Fourth Proportional to 546,888.20, 819,020.10 and 266,077.40

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Solution

The fourth proportional to 546,888.20, 819,020.10 and 266,077.40 is: 398,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,888.20 : 819,020.10 = 266,077.40 : x
  2. Step 2: Convert to fraction form
    546,888.20/819,020.10 = 266,077.40/x
  3. Step 3: Cross multiply
    546,888.20x = 819,020.10 × 266,077.40
  4. Step 4: Simplify right side
    546,888.20x = 217,922,738,755.74
  5. Step 5: Solve for x
    x = 217,922,738,755.74/546,888.20
  6. Step 6: Final answer
    x = 398,477.68

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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.