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Finding the Fourth Proportional to 613,645, 846,829.20 and 341,736.70

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Solution

The fourth proportional to 613,645, 846,829.20 and 341,736.70 is: 471,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,645 : 846,829.20 = 341,736.70 : x
  2. Step 2: Convert to fraction form
    613,645/846,829.20 = 341,736.70/x
  3. Step 3: Cross multiply
    613,645x = 846,829.20 × 341,736.70
  4. Step 4: Simplify right side
    613,645x = 289,392,616,271.64
  5. Step 5: Solve for x
    x = 289,392,616,271.64/613,645
  6. Step 6: Final answer
    x = 471,596.14

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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.