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Finding the Fourth Proportional to 519,149, 716,425.62 and 280,685

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Solution

The fourth proportional to 519,149, 716,425.62 and 280,685 is: 387,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,149 : 716,425.62 = 280,685 : x
  2. Step 2: Convert to fraction form
    519,149/716,425.62 = 280,685/x
  3. Step 3: Cross multiply
    519,149x = 716,425.62 × 280,685
  4. Step 4: Simplify right side
    519,149x = 201,089,925,149.70
  5. Step 5: Solve for x
    x = 201,089,925,149.70/519,149
  6. Step 6: Final answer
    x = 387,345.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.