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Finding the Fourth Proportional to 471,498.38, 650,681.86 and 290,314.86

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Solution

The fourth proportional to 471,498.38, 650,681.86 and 290,314.86 is: 400,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,498.38 : 650,681.86 = 290,314.86 : x
  2. Step 2: Convert to fraction form
    471,498.38/650,681.86 = 290,314.86/x
  3. Step 3: Cross multiply
    471,498.38x = 650,681.86 × 290,314.86
  4. Step 4: Simplify right side
    471,498.38x = 188,902,613,090.44
  5. Step 5: Solve for x
    x = 188,902,613,090.44/471,498.38
  6. Step 6: Final answer
    x = 400,643.19

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1.5x scale

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.