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Finding the Fourth Proportional to 456,286.80, 684,430.20 and 306,987.60

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Solution

The fourth proportional to 456,286.80, 684,430.20 and 306,987.60 is: 460,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,286.80 : 684,430.20 = 306,987.60 : x
  2. Step 2: Convert to fraction form
    456,286.80/684,430.20 = 306,987.60/x
  3. Step 3: Cross multiply
    456,286.80x = 684,430.20 × 306,987.60
  4. Step 4: Simplify right side
    456,286.80x = 210,111,584,465.52
  5. Step 5: Solve for x
    x = 210,111,584,465.52/456,286.80
  6. Step 6: Final answer
    x = 460,481.40

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Similar ratio
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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.