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Finding the Fourth Proportional to 421,724.64, 632,441.16 and 137,341.74

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Solution

The fourth proportional to 421,724.64, 632,441.16 and 137,341.74 is: 205,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,724.64 : 632,441.16 = 137,341.74 : x
  2. Step 2: Convert to fraction form
    421,724.64/632,441.16 = 137,341.74/x
  3. Step 3: Cross multiply
    421,724.64x = 632,441.16 × 137,341.74
  4. Step 4: Simplify right side
    421,724.64x = 86,860,569,362.02
  5. Step 5: Solve for x
    x = 86,860,569,362.02/421,724.64
  6. Step 6: Final answer
    x = 205,965.13

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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.