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Finding the Fourth Proportional to 1,828,169.72, 2,742,509.93 and 762,967.88

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Solution

The fourth proportional to 1,828,169.72, 2,742,509.93 and 762,967.88 is: 1,144,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,169.72 : 2,742,509.93 = 762,967.88 : x
  2. Step 2: Convert to fraction form
    1,828,169.72/2,742,509.93 = 762,967.88/x
  3. Step 3: Cross multiply
    1,828,169.72x = 2,742,509.93 × 762,967.88
  4. Step 4: Simplify right side
    1,828,169.72x = 2,092,446,969,643.66
  5. Step 5: Solve for x
    x = 2,092,446,969,643.66/1,828,169.72
  6. Step 6: Final answer
    x = 1,144,558.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.