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Finding the Fourth Proportional to 469,871.94, 648,128.30 and 278,750

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Solution

The fourth proportional to 469,871.94, 648,128.30 and 278,750 is: 384,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,871.94 : 648,128.30 = 278,750 : x
  2. Step 2: Convert to fraction form
    469,871.94/648,128.30 = 278,750/x
  3. Step 3: Cross multiply
    469,871.94x = 648,128.30 × 278,750
  4. Step 4: Simplify right side
    469,871.94x = 180,665,763,625
  5. Step 5: Solve for x
    x = 180,665,763,625/469,871.94
  6. Step 6: Final answer
    x = 384,500.01

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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.