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Finding the Fourth Proportional to 367,944, 507,763.20 and 208,968

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Solution

The fourth proportional to 367,944, 507,763.20 and 208,968 is: 288,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,944 : 507,763.20 = 208,968 : x
  2. Step 2: Convert to fraction form
    367,944/507,763.20 = 208,968/x
  3. Step 3: Cross multiply
    367,944x = 507,763.20 × 208,968
  4. Step 4: Simplify right side
    367,944x = 106,106,260,377.60
  5. Step 5: Solve for x
    x = 106,106,260,377.60/367,944
  6. Step 6: Final answer
    x = 288,376.11

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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.