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Finding the Fourth Proportional to 409,196.72, 613,795.08 and 156,502.88

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Solution

The fourth proportional to 409,196.72, 613,795.08 and 156,502.88 is: 234,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,196.72 : 613,795.08 = 156,502.88 : x
  2. Step 2: Convert to fraction form
    409,196.72/613,795.08 = 156,502.88/x
  3. Step 3: Cross multiply
    409,196.72x = 613,795.08 × 156,502.88
  4. Step 4: Simplify right side
    409,196.72x = 96,060,697,749.83
  5. Step 5: Solve for x
    x = 96,060,697,749.83/409,196.72
  6. Step 6: Final answer
    x = 234,754.32

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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.