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Finding the Fourth Proportional to 520,671.36, 780,115.40 and 284,180

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Solution

The fourth proportional to 520,671.36, 780,115.40 and 284,180 is: 425,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,671.36 : 780,115.40 = 284,180 : x
  2. Step 2: Convert to fraction form
    520,671.36/780,115.40 = 284,180/x
  3. Step 3: Cross multiply
    520,671.36x = 780,115.40 × 284,180
  4. Step 4: Simplify right side
    520,671.36x = 221,693,194,372
  5. Step 5: Solve for x
    x = 221,693,194,372/520,671.36
  6. Step 6: Final answer
    x = 425,783.35

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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.