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Finding the Fourth Proportional to 308,442.40, 463,700.40 and 262,823.20

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Solution

The fourth proportional to 308,442.40, 463,700.40 and 262,823.20 is: 395,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,442.40 : 463,700.40 = 262,823.20 : x
  2. Step 2: Convert to fraction form
    308,442.40/463,700.40 = 262,823.20/x
  3. Step 3: Cross multiply
    308,442.40x = 463,700.40 × 262,823.20
  4. Step 4: Simplify right side
    308,442.40x = 121,871,222,969.28
  5. Step 5: Solve for x
    x = 121,871,222,969.28/308,442.40
  6. Step 6: Final answer
    x = 395,118.26

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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.