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Finding the Fourth Proportional to 471,731.40, 651,041.28 and 290,406.96

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Solution

The fourth proportional to 471,731.40, 651,041.28 and 290,406.96 is: 400,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,731.40 : 651,041.28 = 290,406.96 : x
  2. Step 2: Convert to fraction form
    471,731.40/651,041.28 = 290,406.96/x
  3. Step 3: Cross multiply
    471,731.40x = 651,041.28 × 290,406.96
  4. Step 4: Simplify right side
    471,731.40x = 189,066,918,959.31
  5. Step 5: Solve for x
    x = 189,066,918,959.31/471,731.40
  6. Step 6: Final answer
    x = 400,793.58

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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.