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Finding the Fourth Proportional to 650,585.25, 898,361.69 and 409,271.67

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Solution

The fourth proportional to 650,585.25, 898,361.69 and 409,271.67 is: 565,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,585.25 : 898,361.69 = 409,271.67 : x
  2. Step 2: Convert to fraction form
    650,585.25/898,361.69 = 409,271.67/x
  3. Step 3: Cross multiply
    650,585.25x = 898,361.69 × 409,271.67
  4. Step 4: Simplify right side
    650,585.25x = 367,673,989,130.32
  5. Step 5: Solve for x
    x = 367,673,989,130.32/650,585.25
  6. Step 6: Final answer
    x = 565,143.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.