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Finding the Fourth Proportional to 666,464.51, 919,698.14 and 380,076.77

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Solution

The fourth proportional to 666,464.51, 919,698.14 and 380,076.77 is: 524,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,464.51 : 919,698.14 = 380,076.77 : x
  2. Step 2: Convert to fraction form
    666,464.51/919,698.14 = 380,076.77/x
  3. Step 3: Cross multiply
    666,464.51x = 919,698.14 × 380,076.77
  4. Step 4: Simplify right side
    666,464.51x = 349,555,891,927.33
  5. Step 5: Solve for x
    x = 349,555,891,927.33/666,464.51
  6. Step 6: Final answer
    x = 524,492.89

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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.