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Finding the Fourth Proportional to 370,683.52, 511,543.80 and 200,917.60

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Solution

The fourth proportional to 370,683.52, 511,543.80 and 200,917.60 is: 277,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,683.52 : 511,543.80 = 200,917.60 : x
  2. Step 2: Convert to fraction form
    370,683.52/511,543.80 = 200,917.60/x
  3. Step 3: Cross multiply
    370,683.52x = 511,543.80 × 200,917.60
  4. Step 4: Simplify right side
    370,683.52x = 102,778,152,590.88
  5. Step 5: Solve for x
    x = 102,778,152,590.88/370,683.52
  6. Step 6: Final answer
    x = 277,266.58

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1.5x scale

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.