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Finding the Fourth Proportional to 1,412,357.86, 1,949,066.52 and 767,779.30

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Solution

The fourth proportional to 1,412,357.86, 1,949,066.52 and 767,779.30 is: 1,059,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,357.86 : 1,949,066.52 = 767,779.30 : x
  2. Step 2: Convert to fraction form
    1,412,357.86/1,949,066.52 = 767,779.30/x
  3. Step 3: Cross multiply
    1,412,357.86x = 1,949,066.52 × 767,779.30
  4. Step 4: Simplify right side
    1,412,357.86x = 1,496,452,928,379.04
  5. Step 5: Solve for x
    x = 1,496,452,928,379.04/1,412,357.86
  6. Step 6: Final answer
    x = 1,059,542.32

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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.