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Finding the Fourth Proportional to 469,881.93, 648,142.11 and 278,760

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Solution

The fourth proportional to 469,881.93, 648,142.11 and 278,760 is: 384,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,881.93 : 648,142.11 = 278,760 : x
  2. Step 2: Convert to fraction form
    469,881.93/648,142.11 = 278,760/x
  3. Step 3: Cross multiply
    469,881.93x = 648,142.11 × 278,760
  4. Step 4: Simplify right side
    469,881.93x = 180,676,094,583.60
  5. Step 5: Solve for x
    x = 180,676,094,583.60/469,881.93
  6. Step 6: Final answer
    x = 384,513.82

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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.