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Finding the Fourth Proportional to 368,440.50, 508,447.89 and 209,464.50

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Solution

The fourth proportional to 368,440.50, 508,447.89 and 209,464.50 is: 289,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,440.50 : 508,447.89 = 209,464.50 : x
  2. Step 2: Convert to fraction form
    368,440.50/508,447.89 = 209,464.50/x
  3. Step 3: Cross multiply
    368,440.50x = 508,447.89 × 209,464.50
  4. Step 4: Simplify right side
    368,440.50x = 106,501,783,054.91
  5. Step 5: Solve for x
    x = 106,501,783,054.91/368,440.50
  6. Step 6: Final answer
    x = 289,061.01

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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.