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Finding the Fourth Proportional to 505,542.98, 697,643.52 and 290,683.90

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Solution

The fourth proportional to 505,542.98, 697,643.52 and 290,683.90 is: 401,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,542.98 : 697,643.52 = 290,683.90 : x
  2. Step 2: Convert to fraction form
    505,542.98/697,643.52 = 290,683.90/x
  3. Step 3: Cross multiply
    505,542.98x = 697,643.52 × 290,683.90
  4. Step 4: Simplify right side
    505,542.98x = 202,793,739,203.33
  5. Step 5: Solve for x
    x = 202,793,739,203.33/505,542.98
  6. Step 6: Final answer
    x = 401,140.45

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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.