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Finding the Fourth Proportional to 398,784.69, 550,011.69 and 255,558.06

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Solution

The fourth proportional to 398,784.69, 550,011.69 and 255,558.06 is: 352,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,784.69 : 550,011.69 = 255,558.06 : x
  2. Step 2: Convert to fraction form
    398,784.69/550,011.69 = 255,558.06/x
  3. Step 3: Cross multiply
    398,784.69x = 550,011.69 × 255,558.06
  4. Step 4: Simplify right side
    398,784.69x = 140,559,920,473.72
  5. Step 5: Solve for x
    x = 140,559,920,473.72/398,784.69
  6. Step 6: Final answer
    x = 352,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.