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Finding the Fourth Proportional to 978,580.62, 1,467,852.39 and 402,081.33

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Solution

The fourth proportional to 978,580.62, 1,467,852.39 and 402,081.33 is: 603,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,580.62 : 1,467,852.39 = 402,081.33 : x
  2. Step 2: Convert to fraction form
    978,580.62/1,467,852.39 = 402,081.33/x
  3. Step 3: Cross multiply
    978,580.62x = 1,467,852.39 × 402,081.33
  4. Step 4: Simplify right side
    978,580.62x = 590,196,041,214.88
  5. Step 5: Solve for x
    x = 590,196,041,214.88/978,580.62
  6. Step 6: Final answer
    x = 603,114.38

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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.