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Finding the Fourth Proportional to 285,779.90, 428,582.30 and 197,600.06

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Solution

The fourth proportional to 285,779.90, 428,582.30 and 197,600.06 is: 296,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,779.90 : 428,582.30 = 197,600.06 : x
  2. Step 2: Convert to fraction form
    285,779.90/428,582.30 = 197,600.06/x
  3. Step 3: Cross multiply
    285,779.90x = 428,582.30 × 197,600.06
  4. Step 4: Simplify right side
    285,779.90x = 84,687,885,064.03
  5. Step 5: Solve for x
    x = 84,687,885,064.03/285,779.90
  6. Step 6: Final answer
    x = 296,339.55

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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.