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Finding the Fourth Proportional to 978,344.64, 1,467,270.72 and 379,100.16

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Solution

The fourth proportional to 978,344.64, 1,467,270.72 and 379,100.16 is: 568,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,344.64 : 1,467,270.72 = 379,100.16 : x
  2. Step 2: Convert to fraction form
    978,344.64/1,467,270.72 = 379,100.16/x
  3. Step 3: Cross multiply
    978,344.64x = 1,467,270.72 × 379,100.16
  4. Step 4: Simplify right side
    978,344.64x = 556,242,564,715.32
  5. Step 5: Solve for x
    x = 556,242,564,715.32/978,344.64
  6. Step 6: Final answer
    x = 568,554.82

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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.