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Finding the Fourth Proportional to 368,440, 508,447.20 and 209,464

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Solution

The fourth proportional to 368,440, 508,447.20 and 209,464 is: 289,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,440 : 508,447.20 = 209,464 : x
  2. Step 2: Convert to fraction form
    368,440/508,447.20 = 209,464/x
  3. Step 3: Cross multiply
    368,440x = 508,447.20 × 209,464
  4. Step 4: Simplify right side
    368,440x = 106,501,384,300.80
  5. Step 5: Solve for x
    x = 106,501,384,300.80/368,440
  6. Step 6: Final answer
    x = 289,060.32

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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.