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Finding the Fourth Proportional to 286,319.53, 429,408.31 and 96,775.68

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Solution

The fourth proportional to 286,319.53, 429,408.31 and 96,775.68 is: 145,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,319.53 : 429,408.31 = 96,775.68 : x
  2. Step 2: Convert to fraction form
    286,319.53/429,408.31 = 96,775.68/x
  3. Step 3: Cross multiply
    286,319.53x = 429,408.31 × 96,775.68
  4. Step 4: Simplify right side
    286,319.53x = 41,556,280,714.02
  5. Step 5: Solve for x
    x = 41,556,280,714.02/286,319.53
  6. Step 6: Final answer
    x = 145,139.53

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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.