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Finding the Fourth Proportional to 398,069.76, 597,280.42 and 308,887.32

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Solution

The fourth proportional to 398,069.76, 597,280.42 and 308,887.32 is: 463,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,069.76 : 597,280.42 = 308,887.32 : x
  2. Step 2: Convert to fraction form
    398,069.76/597,280.42 = 308,887.32/x
  3. Step 3: Cross multiply
    398,069.76x = 597,280.42 × 308,887.32
  4. Step 4: Simplify right side
    398,069.76x = 184,492,348,222.27
  5. Step 5: Solve for x
    x = 184,492,348,222.27/398,069.76
  6. Step 6: Final answer
    x = 463,467.38

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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.