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Finding the Fourth Proportional to 721,804.64, 996,113.91 and 415,857.01

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Solution

The fourth proportional to 721,804.64, 996,113.91 and 415,857.01 is: 573,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,804.64 : 996,113.91 = 415,857.01 : x
  2. Step 2: Convert to fraction form
    721,804.64/996,113.91 = 415,857.01/x
  3. Step 3: Cross multiply
    721,804.64x = 996,113.91 × 415,857.01
  4. Step 4: Simplify right side
    721,804.64x = 414,240,952,232.01
  5. Step 5: Solve for x
    x = 414,240,952,232.01/721,804.64
  6. Step 6: Final answer
    x = 573,896.22

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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.