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Finding the Fourth Proportional to 500,783.61, 691,110.62 and 282,986.73

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Solution

The fourth proportional to 500,783.61, 691,110.62 and 282,986.73 is: 390,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,783.61 : 691,110.62 = 282,986.73 : x
  2. Step 2: Convert to fraction form
    500,783.61/691,110.62 = 282,986.73/x
  3. Step 3: Cross multiply
    500,783.61x = 691,110.62 × 282,986.73
  4. Step 4: Simplify right side
    500,783.61x = 195,575,133,007.14
  5. Step 5: Solve for x
    x = 195,575,133,007.14/500,783.61
  6. Step 6: Final answer
    x = 390,538.21

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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.