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Finding the Fourth Proportional to 206,578.70, 309,430.65 and 184,417.10

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Solution

The fourth proportional to 206,578.70, 309,430.65 and 184,417.10 is: 276,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.70 : 309,430.65 = 184,417.10 : x
  2. Step 2: Convert to fraction form
    206,578.70/309,430.65 = 184,417.10/x
  3. Step 3: Cross multiply
    206,578.70x = 309,430.65 × 184,417.10
  4. Step 4: Simplify right side
    206,578.70x = 57,064,303,124.12
  5. Step 5: Solve for x
    x = 57,064,303,124.12/206,578.70
  6. Step 6: Final answer
    x = 276,235.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.