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Finding the Fourth Proportional to 505,498.80, 697,587.36 and 290,680.32

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Solution

The fourth proportional to 505,498.80, 697,587.36 and 290,680.32 is: 401,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,498.80 : 697,587.36 = 290,680.32 : x
  2. Step 2: Convert to fraction form
    505,498.80/697,587.36 = 290,680.32/x
  3. Step 3: Cross multiply
    505,498.80x = 697,587.36 × 290,680.32
  4. Step 4: Simplify right side
    505,498.80x = 202,774,917,032.76
  5. Step 5: Solve for x
    x = 202,774,917,032.76/505,498.80
  6. Step 6: Final answer
    x = 401,138.28

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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.