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Finding the Fourth Proportional to 500,089.77, 690,124.32 and 285,224.31

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Solution

The fourth proportional to 500,089.77, 690,124.32 and 285,224.31 is: 393,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,089.77 : 690,124.32 = 285,224.31 : x
  2. Step 2: Convert to fraction form
    500,089.77/690,124.32 = 285,224.31/x
  3. Step 3: Cross multiply
    500,089.77x = 690,124.32 × 285,224.31
  4. Step 4: Simplify right side
    500,089.77x = 196,840,232,986.22
  5. Step 5: Solve for x
    x = 196,840,232,986.22/500,089.77
  6. Step 6: Final answer
    x = 393,609.80

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1.5x scale

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.