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Finding the Fourth Proportional to 647,460.80, 970,316.40 and 433,620.80

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Solution

The fourth proportional to 647,460.80, 970,316.40 and 433,620.80 is: 649,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,460.80 : 970,316.40 = 433,620.80 : x
  2. Step 2: Convert to fraction form
    647,460.80/970,316.40 = 433,620.80/x
  3. Step 3: Cross multiply
    647,460.80x = 970,316.40 × 433,620.80
  4. Step 4: Simplify right side
    647,460.80x = 420,749,373,621.12
  5. Step 5: Solve for x
    x = 420,749,373,621.12/647,460.80
  6. Step 6: Final answer
    x = 649,845.32

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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.