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Finding the Fourth Proportional to 646,393.23, 969,774.80 and 220,023

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Solution

The fourth proportional to 646,393.23, 969,774.80 and 220,023 is: 330,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,393.23 : 969,774.80 = 220,023 : x
  2. Step 2: Convert to fraction form
    646,393.23/969,774.80 = 220,023/x
  3. Step 3: Cross multiply
    646,393.23x = 969,774.80 × 220,023
  4. Step 4: Simplify right side
    646,393.23x = 213,372,759,720.29
  5. Step 5: Solve for x
    x = 213,372,759,720.29/646,393.23
  6. Step 6: Final answer
    x = 330,097.45

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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.