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Finding the Fourth Proportional to 409,701.08, 613,360.53 and 238,400.72

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Solution

The fourth proportional to 409,701.08, 613,360.53 and 238,400.72 is: 356,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,701.08 : 613,360.53 = 238,400.72 : x
  2. Step 2: Convert to fraction form
    409,701.08/613,360.53 = 238,400.72/x
  3. Step 3: Cross multiply
    409,701.08x = 613,360.53 × 238,400.72
  4. Step 4: Simplify right side
    409,701.08x = 146,225,589,500.78
  5. Step 5: Solve for x
    x = 146,225,589,500.78/409,701.08
  6. Step 6: Final answer
    x = 356,908.00

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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.