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Finding the Fourth Proportional to 285,564.51, 428,313.35 and 114,779.39

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Solution

The fourth proportional to 285,564.51, 428,313.35 and 114,779.39 is: 172,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,564.51 : 428,313.35 = 114,779.39 : x
  2. Step 2: Convert to fraction form
    285,564.51/428,313.35 = 114,779.39/x
  3. Step 3: Cross multiply
    285,564.51x = 428,313.35 × 114,779.39
  4. Step 4: Simplify right side
    285,564.51x = 49,161,543,187.24
  5. Step 5: Solve for x
    x = 49,161,543,187.24/285,564.51
  6. Step 6: Final answer
    x = 172,155.65

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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.