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Finding the Fourth Proportional to 513,315.60, 771,285.60 and 455,578.80

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Solution

The fourth proportional to 513,315.60, 771,285.60 and 455,578.80 is: 684,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,315.60 : 771,285.60 = 455,578.80 : x
  2. Step 2: Convert to fraction form
    513,315.60/771,285.60 = 455,578.80/x
  3. Step 3: Cross multiply
    513,315.60x = 771,285.60 × 455,578.80
  4. Step 4: Simplify right side
    513,315.60x = 351,381,368,105.28
  5. Step 5: Solve for x
    x = 351,381,368,105.28/513,315.60
  6. Step 6: Final answer
    x = 684,532.81

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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.