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Finding the Fourth Proportional to 307,639.40, 461,459.10 and 228,907.40

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Solution

The fourth proportional to 307,639.40, 461,459.10 and 228,907.40 is: 343,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,639.40 : 461,459.10 = 228,907.40 : x
  2. Step 2: Convert to fraction form
    307,639.40/461,459.10 = 228,907.40/x
  3. Step 3: Cross multiply
    307,639.40x = 461,459.10 × 228,907.40
  4. Step 4: Simplify right side
    307,639.40x = 105,631,402,787.34
  5. Step 5: Solve for x
    x = 105,631,402,787.34/307,639.40
  6. Step 6: Final answer
    x = 343,361.10

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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.