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Finding the Fourth Proportional to 409,347.36, 613,505.04 and 219,336.48

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Solution

The fourth proportional to 409,347.36, 613,505.04 and 219,336.48 is: 328,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,347.36 : 613,505.04 = 219,336.48 : x
  2. Step 2: Convert to fraction form
    409,347.36/613,505.04 = 219,336.48/x
  3. Step 3: Cross multiply
    409,347.36x = 613,505.04 × 219,336.48
  4. Step 4: Simplify right side
    409,347.36x = 134,564,035,935.86
  5. Step 5: Solve for x
    x = 134,564,035,935.86/409,347.36
  6. Step 6: Final answer
    x = 328,728.24

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1.5x scale

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.