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Finding the Fourth Proportional to 290,415.20, 406,996 and 290,415.20

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Solution

The fourth proportional to 290,415.20, 406,996 and 290,415.20 is: 406,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,415.20 : 406,996 = 290,415.20 : x
  2. Step 2: Convert to fraction form
    290,415.20/406,996 = 290,415.20/x
  3. Step 3: Cross multiply
    290,415.20x = 406,996 × 290,415.20
  4. Step 4: Simplify right side
    290,415.20x = 118,197,824,739.20
  5. Step 5: Solve for x
    x = 118,197,824,739.20/290,415.20
  6. Step 6: Final answer
    x = 406,996

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.