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Finding the Fourth Proportional to 382,380.84, 527,699.16 and 219,066.60

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Solution

The fourth proportional to 382,380.84, 527,699.16 and 219,066.60 is: 302,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,380.84 : 527,699.16 = 219,066.60 : x
  2. Step 2: Convert to fraction form
    382,380.84/527,699.16 = 219,066.60/x
  3. Step 3: Cross multiply
    382,380.84x = 527,699.16 × 219,066.60
  4. Step 4: Simplify right side
    382,380.84x = 115,601,260,804.06
  5. Step 5: Solve for x
    x = 115,601,260,804.06/382,380.84
  6. Step 6: Final answer
    x = 302,319.70

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1.5x scale

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.