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Finding the Fourth Proportional to 421,643.96, 632,510.34 and 137,356.76

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Solution

The fourth proportional to 421,643.96, 632,510.34 and 137,356.76 is: 206,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,643.96 : 632,510.34 = 137,356.76 : x
  2. Step 2: Convert to fraction form
    421,643.96/632,510.34 = 137,356.76/x
  3. Step 3: Cross multiply
    421,643.96x = 632,510.34 × 137,356.76
  4. Step 4: Simplify right side
    421,643.96x = 86,879,570,968.90
  5. Step 5: Solve for x
    x = 86,879,570,968.90/421,643.96
  6. Step 6: Final answer
    x = 206,049.60

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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.