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Finding the Fourth Proportional to 312,110.40, 468,165.60 and 154,646.40

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Solution

The fourth proportional to 312,110.40, 468,165.60 and 154,646.40 is: 231,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,110.40 : 468,165.60 = 154,646.40 : x
  2. Step 2: Convert to fraction form
    312,110.40/468,165.60 = 154,646.40/x
  3. Step 3: Cross multiply
    312,110.40x = 468,165.60 × 154,646.40
  4. Step 4: Simplify right side
    312,110.40x = 72,400,124,643.84
  5. Step 5: Solve for x
    x = 72,400,124,643.84/312,110.40
  6. Step 6: Final answer
    x = 231,969.60

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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.