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Finding the Fourth Proportional to 402,727.30, 604,049.37 and 136,480.93

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Solution

The fourth proportional to 402,727.30, 604,049.37 and 136,480.93 is: 204,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,727.30 : 604,049.37 = 136,480.93 : x
  2. Step 2: Convert to fraction form
    402,727.30/604,049.37 = 136,480.93/x
  3. Step 3: Cross multiply
    402,727.30x = 604,049.37 × 136,480.93
  4. Step 4: Simplify right side
    402,727.30x = 82,441,219,783.51
  5. Step 5: Solve for x
    x = 82,441,219,783.51/402,727.30
  6. Step 6: Final answer
    x = 204,707.30

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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.