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Finding the Fourth Proportional to 646,166.77, 969,250.43 and 290,765.64

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Solution

The fourth proportional to 646,166.77, 969,250.43 and 290,765.64 is: 436,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,166.77 : 969,250.43 = 290,765.64 : x
  2. Step 2: Convert to fraction form
    646,166.77/969,250.43 = 290,765.64/x
  3. Step 3: Cross multiply
    646,166.77x = 969,250.43 × 290,765.64
  4. Step 4: Simplify right side
    646,166.77x = 281,824,721,599.23
  5. Step 5: Solve for x
    x = 281,824,721,599.23/646,166.77
  6. Step 6: Final answer
    x = 436,148.58

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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.