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Finding the Fourth Proportional to 414,459.04, 621,688.56 and 274,184.86

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Solution

The fourth proportional to 414,459.04, 621,688.56 and 274,184.86 is: 411,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,459.04 : 621,688.56 = 274,184.86 : x
  2. Step 2: Convert to fraction form
    414,459.04/621,688.56 = 274,184.86/x
  3. Step 3: Cross multiply
    414,459.04x = 621,688.56 × 274,184.86
  4. Step 4: Simplify right side
    414,459.04x = 170,457,590,787.20
  5. Step 5: Solve for x
    x = 170,457,590,787.20/414,459.04
  6. Step 6: Final answer
    x = 411,277.29

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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.