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Finding the Fourth Proportional to 367,946, 507,765.96 and 208,970

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Solution

The fourth proportional to 367,946, 507,765.96 and 208,970 is: 288,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,946 : 507,765.96 = 208,970 : x
  2. Step 2: Convert to fraction form
    367,946/507,765.96 = 208,970/x
  3. Step 3: Cross multiply
    367,946x = 507,765.96 × 208,970
  4. Step 4: Simplify right side
    367,946x = 106,107,852,661.20
  5. Step 5: Solve for x
    x = 106,107,852,661.20/367,946
  6. Step 6: Final answer
    x = 288,378.87

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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.