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Finding the Fourth Proportional to 505,690.43, 697,873.95 and 290,830.64

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Solution

The fourth proportional to 505,690.43, 697,873.95 and 290,830.64 is: 401,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,690.43 : 697,873.95 = 290,830.64 : x
  2. Step 2: Convert to fraction form
    505,690.43/697,873.95 = 290,830.64/x
  3. Step 3: Cross multiply
    505,690.43x = 697,873.95 × 290,830.64
  4. Step 4: Simplify right side
    505,690.43x = 202,963,124,028.46
  5. Step 5: Solve for x
    x = 202,963,124,028.46/505,690.43
  6. Step 6: Final answer
    x = 401,358.45

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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.