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Finding the Fourth Proportional to 471,485.34, 650,663.81 and 290,301.77

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Solution

The fourth proportional to 471,485.34, 650,663.81 and 290,301.77 is: 400,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,485.34 : 650,663.81 = 290,301.77 : x
  2. Step 2: Convert to fraction form
    471,485.34/650,663.81 = 290,301.77/x
  3. Step 3: Cross multiply
    471,485.34x = 650,663.81 × 290,301.77
  4. Step 4: Simplify right side
    471,485.34x = 188,888,851,013.12
  5. Step 5: Solve for x
    x = 188,888,851,013.12/471,485.34
  6. Step 6: Final answer
    x = 400,625.08

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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.