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Finding the Fourth Proportional to 378,504.84, 522,373.50 and 282,845.40

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Solution

The fourth proportional to 378,504.84, 522,373.50 and 282,845.40 is: 390,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,504.84 : 522,373.50 = 282,845.40 : x
  2. Step 2: Convert to fraction form
    378,504.84/522,373.50 = 282,845.40/x
  3. Step 3: Cross multiply
    378,504.84x = 522,373.50 × 282,845.40
  4. Step 4: Simplify right side
    378,504.84x = 147,750,941,556.90
  5. Step 5: Solve for x
    x = 147,750,941,556.90/378,504.84
  6. Step 6: Final answer
    x = 390,354.17

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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.