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Finding the Fourth Proportional to 520,645.32, 780,076.44 and 284,153.94

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Solution

The fourth proportional to 520,645.32, 780,076.44 and 284,153.94 is: 425,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,645.32 : 780,076.44 = 284,153.94 : x
  2. Step 2: Convert to fraction form
    520,645.32/780,076.44 = 284,153.94/x
  3. Step 3: Cross multiply
    520,645.32x = 780,076.44 × 284,153.94
  4. Step 4: Simplify right side
    520,645.32x = 221,661,793,927.17
  5. Step 5: Solve for x
    x = 221,661,793,927.17/520,645.32
  6. Step 6: Final answer
    x = 425,744.33

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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.