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Finding the Fourth Proportional to 420,853.52, 631,368.93 and 136,521.86

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Solution

The fourth proportional to 420,853.52, 631,368.93 and 136,521.86 is: 204,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,853.52 : 631,368.93 = 136,521.86 : x
  2. Step 2: Convert to fraction form
    420,853.52/631,368.93 = 136,521.86/x
  3. Step 3: Cross multiply
    420,853.52x = 631,368.93 × 136,521.86
  4. Step 4: Simplify right side
    420,853.52x = 86,195,660,669.81
  5. Step 5: Solve for x
    x = 86,195,660,669.81/420,853.52
  6. Step 6: Final answer
    x = 204,811.55

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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.