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Finding the Fourth Proportional to 285,778.79, 428,646.28 and 105,779.72

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Solution

The fourth proportional to 285,778.79, 428,646.28 and 105,779.72 is: 158,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,778.79 : 428,646.28 = 105,779.72 : x
  2. Step 2: Convert to fraction form
    285,778.79/428,646.28 = 105,779.72/x
  3. Step 3: Cross multiply
    285,778.79x = 428,646.28 × 105,779.72
  4. Step 4: Simplify right side
    285,778.79x = 45,342,084,148.25
  5. Step 5: Solve for x
    x = 45,342,084,148.25/285,778.79
  6. Step 6: Final answer
    x = 158,661.47

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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.