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Finding the Fourth Proportional to 409,389.15, 613,999.14 and 109,798.50

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Solution

The fourth proportional to 409,389.15, 613,999.14 and 109,798.50 is: 164,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,389.15 : 613,999.14 = 109,798.50 : x
  2. Step 2: Convert to fraction form
    409,389.15/613,999.14 = 109,798.50/x
  3. Step 3: Cross multiply
    409,389.15x = 613,999.14 × 109,798.50
  4. Step 4: Simplify right side
    409,389.15x = 67,416,184,573.29
  5. Step 5: Solve for x
    x = 67,416,184,573.29/409,389.15
  6. Step 6: Final answer
    x = 164,675.06

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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.