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Finding the Fourth Proportional to 520,669.32, 780,112.44 and 284,177.94

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Solution

The fourth proportional to 520,669.32, 780,112.44 and 284,177.94 is: 425,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,669.32 : 780,112.44 = 284,177.94 : x
  2. Step 2: Convert to fraction form
    520,669.32/780,112.44 = 284,177.94/x
  3. Step 3: Cross multiply
    520,669.32x = 780,112.44 × 284,177.94
  4. Step 4: Simplify right side
    520,669.32x = 221,690,746,167.57
  5. Step 5: Solve for x
    x = 221,690,746,167.57/520,669.32
  6. Step 6: Final answer
    x = 425,780.31

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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.