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Finding the Fourth Proportional to 1,875,344.96, 2,812,978.56 and 455,408.48

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Solution

The fourth proportional to 1,875,344.96, 2,812,978.56 and 455,408.48 is: 683,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875,344.96 : 2,812,978.56 = 455,408.48 : x
  2. Step 2: Convert to fraction form
    1,875,344.96/2,812,978.56 = 455,408.48/x
  3. Step 3: Cross multiply
    1,875,344.96x = 2,812,978.56 × 455,408.48
  4. Step 4: Simplify right side
    1,875,344.96x = 1,281,054,290,282.19
  5. Step 5: Solve for x
    x = 1,281,054,290,282.19/1,875,344.96
  6. Step 6: Final answer
    x = 683,103.28

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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.