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Finding the Fourth Proportional to 505,482.56, 697,565.76 and 290,664.80

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Solution

The fourth proportional to 505,482.56, 697,565.76 and 290,664.80 is: 401,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,482.56 : 697,565.76 = 290,664.80 : x
  2. Step 2: Convert to fraction form
    505,482.56/697,565.76 = 290,664.80/x
  3. Step 3: Cross multiply
    505,482.56x = 697,565.76 × 290,664.80
  4. Step 4: Simplify right side
    505,482.56x = 202,757,812,117.25
  5. Step 5: Solve for x
    x = 202,757,812,117.25/505,482.56
  6. Step 6: Final answer
    x = 401,117.32

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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.