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Finding the Fourth Proportional to 647,409.80, 971,406.30 and 310,320.20

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Solution

The fourth proportional to 647,409.80, 971,406.30 and 310,320.20 is: 465,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,409.80 : 971,406.30 = 310,320.20 : x
  2. Step 2: Convert to fraction form
    647,409.80/971,406.30 = 310,320.20/x
  3. Step 3: Cross multiply
    647,409.80x = 971,406.30 × 310,320.20
  4. Step 4: Simplify right side
    647,409.80x = 301,446,997,297.26
  5. Step 5: Solve for x
    x = 301,446,997,297.26/647,409.80
  6. Step 6: Final answer
    x = 465,620.07

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1.5x scale

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.