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Finding the Fourth Proportional to 469,847.94, 648,928.44 and 309,420.06

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Solution

The fourth proportional to 469,847.94, 648,928.44 and 309,420.06 is: 427,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,847.94 : 648,928.44 = 309,420.06 : x
  2. Step 2: Convert to fraction form
    469,847.94/648,928.44 = 309,420.06/x
  3. Step 3: Cross multiply
    469,847.94x = 648,928.44 × 309,420.06
  4. Step 4: Simplify right side
    469,847.94x = 200,791,476,840.51
  5. Step 5: Solve for x
    x = 200,791,476,840.51/469,847.94
  6. Step 6: Final answer
    x = 427,354.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.