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Finding the Fourth Proportional to 903,744, 1,355,616 and 312,768

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Solution

The fourth proportional to 903,744, 1,355,616 and 312,768 is: 469,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,744 : 1,355,616 = 312,768 : x
  2. Step 2: Convert to fraction form
    903,744/1,355,616 = 312,768/x
  3. Step 3: Cross multiply
    903,744x = 1,355,616 × 312,768
  4. Step 4: Simplify right side
    903,744x = 423,993,305,088
  5. Step 5: Solve for x
    x = 423,993,305,088/903,744
  6. Step 6: Final answer
    x = 469,152

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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.