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Finding the Fourth Proportional to 471,480.96, 650,657.76 and 290,297.40

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Solution

The fourth proportional to 471,480.96, 650,657.76 and 290,297.40 is: 400,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,480.96 : 650,657.76 = 290,297.40 : x
  2. Step 2: Convert to fraction form
    471,480.96/650,657.76 = 290,297.40/x
  3. Step 3: Cross multiply
    471,480.96x = 650,657.76 × 290,297.40
  4. Step 4: Simplify right side
    471,480.96x = 188,884,256,017.82
  5. Step 5: Solve for x
    x = 188,884,256,017.82/471,480.96
  6. Step 6: Final answer
    x = 400,619.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.