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Finding the Fourth Proportional to 548,430.38, 822,643.94 and 193,358.78

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Solution

The fourth proportional to 548,430.38, 822,643.94 and 193,358.78 is: 290,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,430.38 : 822,643.94 = 193,358.78 : x
  2. Step 2: Convert to fraction form
    548,430.38/822,643.94 = 193,358.78/x
  3. Step 3: Cross multiply
    548,430.38x = 822,643.94 × 193,358.78
  4. Step 4: Simplify right side
    548,430.38x = 159,065,428,612.79
  5. Step 5: Solve for x
    x = 159,065,428,612.79/548,430.38
  6. Step 6: Final answer
    x = 290,037.60

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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.