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Finding the Fourth Proportional to 500,415.84, 690,623.16 and 285,588.24

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Solution

The fourth proportional to 500,415.84, 690,623.16 and 285,588.24 is: 394,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,415.84 : 690,623.16 = 285,588.24 : x
  2. Step 2: Convert to fraction form
    500,415.84/690,623.16 = 285,588.24/x
  3. Step 3: Cross multiply
    500,415.84x = 690,623.16 × 285,588.24
  4. Step 4: Simplify right side
    500,415.84x = 197,233,852,767.64
  5. Step 5: Solve for x
    x = 197,233,852,767.64/500,415.84
  6. Step 6: Final answer
    x = 394,139.91

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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.