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Finding the Fourth Proportional to 613,980.48, 847,316.51 and 355,865.88

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Solution

The fourth proportional to 613,980.48, 847,316.51 and 355,865.88 is: 491,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,980.48 : 847,316.51 = 355,865.88 : x
  2. Step 2: Convert to fraction form
    613,980.48/847,316.51 = 355,865.88/x
  3. Step 3: Cross multiply
    613,980.48x = 847,316.51 × 355,865.88
  4. Step 4: Simplify right side
    613,980.48x = 301,531,035,469.68
  5. Step 5: Solve for x
    x = 301,531,035,469.68/613,980.48
  6. Step 6: Final answer
    x = 491,108.50

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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.