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Finding the Fourth Proportional to 401,220.16, 601,922.48 and 131,356.98

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Solution

The fourth proportional to 401,220.16, 601,922.48 and 131,356.98 is: 197,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,220.16 : 601,922.48 = 131,356.98 : x
  2. Step 2: Convert to fraction form
    401,220.16/601,922.48 = 131,356.98/x
  3. Step 3: Cross multiply
    401,220.16x = 601,922.48 × 131,356.98
  4. Step 4: Simplify right side
    401,220.16x = 79,066,718,510.13
  5. Step 5: Solve for x
    x = 79,066,718,510.13/401,220.16
  6. Step 6: Final answer
    x = 197,065.67

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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.