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Finding the Fourth Proportional to 416,788.84, 624,431.58 and 256,585.96

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Solution

The fourth proportional to 416,788.84, 624,431.58 and 256,585.96 is: 384,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,788.84 : 624,431.58 = 256,585.96 : x
  2. Step 2: Convert to fraction form
    416,788.84/624,431.58 = 256,585.96/x
  3. Step 3: Cross multiply
    416,788.84x = 624,431.58 × 256,585.96
  4. Step 4: Simplify right side
    416,788.84x = 160,220,376,408.62
  5. Step 5: Solve for x
    x = 160,220,376,408.62/416,788.84
  6. Step 6: Final answer
    x = 384,416.19

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1.5x scale

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.