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Finding the Fourth Proportional to 421,038.30, 631,599.96 and 136,716.96

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Solution

The fourth proportional to 421,038.30, 631,599.96 and 136,716.96 is: 205,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,038.30 : 631,599.96 = 136,716.96 : x
  2. Step 2: Convert to fraction form
    421,038.30/631,599.96 = 136,716.96/x
  3. Step 3: Cross multiply
    421,038.30x = 631,599.96 × 136,716.96
  4. Step 4: Simplify right side
    421,038.30x = 86,350,422,625.74
  5. Step 5: Solve for x
    x = 86,350,422,625.74/421,038.30
  6. Step 6: Final answer
    x = 205,089.24

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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.