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Finding the Fourth Proportional to 505,462.86, 697,658.40 and 290,727

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Solution

The fourth proportional to 505,462.86, 697,658.40 and 290,727 is: 401,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,462.86 : 697,658.40 = 290,727 : x
  2. Step 2: Convert to fraction form
    505,462.86/697,658.40 = 290,727/x
  3. Step 3: Cross multiply
    505,462.86x = 697,658.40 × 290,727
  4. Step 4: Simplify right side
    505,462.86x = 202,828,133,656.80
  5. Step 5: Solve for x
    x = 202,828,133,656.80/505,462.86
  6. Step 6: Final answer
    x = 401,272.08

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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.