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Finding the Fourth Proportional to 368,430, 508,433.40 and 209,454

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Solution

The fourth proportional to 368,430, 508,433.40 and 209,454 is: 289,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,430 : 508,433.40 = 209,454 : x
  2. Step 2: Convert to fraction form
    368,430/508,433.40 = 209,454/x
  3. Step 3: Cross multiply
    368,430x = 508,433.40 × 209,454
  4. Step 4: Simplify right side
    368,430x = 106,493,409,363.60
  5. Step 5: Solve for x
    x = 106,493,409,363.60/368,430
  6. Step 6: Final answer
    x = 289,046.52

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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.