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Finding the Fourth Proportional to 667,368.32, 921,133.08 and 381,054.48

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Solution

The fourth proportional to 667,368.32, 921,133.08 and 381,054.48 is: 525,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,368.32 : 921,133.08 = 381,054.48 : x
  2. Step 2: Convert to fraction form
    667,368.32/921,133.08 = 381,054.48/x
  3. Step 3: Cross multiply
    667,368.32x = 921,133.08 × 381,054.48
  4. Step 4: Simplify right side
    667,368.32x = 351,001,886,810.20
  5. Step 5: Solve for x
    x = 351,001,886,810.20/667,368.32
  6. Step 6: Final answer
    x = 525,949.28

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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.