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Finding the Fourth Proportional to 843,409.32, 1,264,302 and 310,639.80

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Solution

The fourth proportional to 843,409.32, 1,264,302 and 310,639.80 is: 465,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,409.32 : 1,264,302 = 310,639.80 : x
  2. Step 2: Convert to fraction form
    843,409.32/1,264,302 = 310,639.80/x
  3. Step 3: Cross multiply
    843,409.32x = 1,264,302 × 310,639.80
  4. Step 4: Simplify right side
    843,409.32x = 392,742,520,419.60
  5. Step 5: Solve for x
    x = 392,742,520,419.60/843,409.32
  6. Step 6: Final answer
    x = 465,660.64

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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.