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Finding the Fourth Proportional to 421,504.32, 632,268 and 141,011.52

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Solution

The fourth proportional to 421,504.32, 632,268 and 141,011.52 is: 211,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,504.32 : 632,268 = 141,011.52 : x
  2. Step 2: Convert to fraction form
    421,504.32/632,268 = 141,011.52/x
  3. Step 3: Cross multiply
    421,504.32x = 632,268 × 141,011.52
  4. Step 4: Simplify right side
    421,504.32x = 89,157,071,727.36
  5. Step 5: Solve for x
    x = 89,157,071,727.36/421,504.32
  6. Step 6: Final answer
    x = 211,521.13

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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.