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Finding the Fourth Proportional to 402,722.83, 604,081.53 and 136,670.65

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Solution

The fourth proportional to 402,722.83, 604,081.53 and 136,670.65 is: 205,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,722.83 : 604,081.53 = 136,670.65 : x
  2. Step 2: Convert to fraction form
    402,722.83/604,081.53 = 136,670.65/x
  3. Step 3: Cross multiply
    402,722.83x = 604,081.53 × 136,670.65
  4. Step 4: Simplify right side
    402,722.83x = 82,560,215,358.09
  5. Step 5: Solve for x
    x = 82,560,215,358.09/402,722.83
  6. Step 6: Final answer
    x = 205,005.05

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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.