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Finding the Fourth Proportional to 287,764.86, 431,646.60 and 77,403

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Solution

The fourth proportional to 287,764.86, 431,646.60 and 77,403 is: 116,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,764.86 : 431,646.60 = 77,403 : x
  2. Step 2: Convert to fraction form
    287,764.86/431,646.60 = 77,403/x
  3. Step 3: Cross multiply
    287,764.86x = 431,646.60 × 77,403
  4. Step 4: Simplify right side
    287,764.86x = 33,410,741,779.80
  5. Step 5: Solve for x
    x = 33,410,741,779.80/287,764.86
  6. Step 6: Final answer
    x = 116,104.31

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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.