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Finding the Fourth Proportional to 521,807.40, 781,674.30 and 284,725.80

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Solution

The fourth proportional to 521,807.40, 781,674.30 and 284,725.80 is: 426,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,807.40 : 781,674.30 = 284,725.80 : x
  2. Step 2: Convert to fraction form
    521,807.40/781,674.30 = 284,725.80/x
  3. Step 3: Cross multiply
    521,807.40x = 781,674.30 × 284,725.80
  4. Step 4: Simplify right side
    521,807.40x = 222,562,840,406.94
  5. Step 5: Solve for x
    x = 222,562,840,406.94/521,807.40
  6. Step 6: Final answer
    x = 426,522.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.