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Finding the Fourth Proportional to 667,905.82, 921,804.51 and 413,339.02

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Solution

The fourth proportional to 667,905.82, 921,804.51 and 413,339.02 is: 570,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,905.82 : 921,804.51 = 413,339.02 : x
  2. Step 2: Convert to fraction form
    667,905.82/921,804.51 = 413,339.02/x
  3. Step 3: Cross multiply
    667,905.82x = 921,804.51 × 413,339.02
  4. Step 4: Simplify right side
    667,905.82x = 381,017,772,794.98
  5. Step 5: Solve for x
    x = 381,017,772,794.98/667,905.82
  6. Step 6: Final answer
    x = 570,466.32

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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.