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Finding the Fourth Proportional to 398,784,302.80, 598,176,454.20 and 183,793,454.80

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Solution

The fourth proportional to 398,784,302.80, 598,176,454.20 and 183,793,454.80 is: 275,690,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,784,302.80 : 598,176,454.20 = 183,793,454.80 : x
  2. Step 2: Convert to fraction form
    398,784,302.80/598,176,454.20 = 183,793,454.80/x
  3. Step 3: Cross multiply
    398,784,302.80x = 598,176,454.20 × 183,793,454.80
  4. Step 4: Simplify right side
    398,784,302.80x = 109,940,917,097,431,984
  5. Step 5: Solve for x
    x = 109,940,917,097,431,984/398,784,302.80
  6. Step 6: Final answer
    x = 275,690,182.20

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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.