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Finding the Fourth Proportional to 200,317,195.80, 300,475,793.70 and 180,547,590.60

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Solution

The fourth proportional to 200,317,195.80, 300,475,793.70 and 180,547,590.60 is: 270,821,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,317,195.80 : 300,475,793.70 = 180,547,590.60 : x
  2. Step 2: Convert to fraction form
    200,317,195.80/300,475,793.70 = 180,547,590.60/x
  3. Step 3: Cross multiply
    200,317,195.80x = 300,475,793.70 × 180,547,590.60
  4. Step 4: Simplify right side
    200,317,195.80x = 54,250,180,586,157,656
  5. Step 5: Solve for x
    x = 54,250,180,586,157,656/200,317,195.80
  6. Step 6: Final answer
    x = 270,821,385.90

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1.5x scale

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.