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Finding the Fourth Proportional to 613,903.12, 847,173.54 and 341,970.64

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Solution

The fourth proportional to 613,903.12, 847,173.54 and 341,970.64 is: 471,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,903.12 : 847,173.54 = 341,970.64 : x
  2. Step 2: Convert to fraction form
    613,903.12/847,173.54 = 341,970.64/x
  3. Step 3: Cross multiply
    613,903.12x = 847,173.54 × 341,970.64
  4. Step 4: Simplify right side
    613,903.12x = 289,708,477,664.87
  5. Step 5: Solve for x
    x = 289,708,477,664.87/613,903.12
  6. Step 6: Final answer
    x = 471,912.37

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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.