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Finding the Fourth Proportional to 652,108.40, 978,162.60 and 423,785.60

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Solution

The fourth proportional to 652,108.40, 978,162.60 and 423,785.60 is: 635,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,108.40 : 978,162.60 = 423,785.60 : x
  2. Step 2: Convert to fraction form
    652,108.40/978,162.60 = 423,785.60/x
  3. Step 3: Cross multiply
    652,108.40x = 978,162.60 × 423,785.60
  4. Step 4: Simplify right side
    652,108.40x = 414,531,224,338.56
  5. Step 5: Solve for x
    x = 414,531,224,338.56/652,108.40
  6. Step 6: Final answer
    x = 635,678.40

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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.