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Finding the Fourth Proportional to 647,411.80, 971,409.30 and 310,322.20

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Solution

The fourth proportional to 647,411.80, 971,409.30 and 310,322.20 is: 465,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,411.80 : 971,409.30 = 310,322.20 : x
  2. Step 2: Convert to fraction form
    647,411.80/971,409.30 = 310,322.20/x
  3. Step 3: Cross multiply
    647,411.80x = 971,409.30 × 310,322.20
  4. Step 4: Simplify right side
    647,411.80x = 301,449,871,076.46
  5. Step 5: Solve for x
    x = 301,449,871,076.46/647,411.80
  6. Step 6: Final answer
    x = 465,623.07

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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.