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Finding the Fourth Proportional to 286,319.78, 429,408.68 and 96,775.93

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Solution

The fourth proportional to 286,319.78, 429,408.68 and 96,775.93 is: 145,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,319.78 : 429,408.68 = 96,775.93 : x
  2. Step 2: Convert to fraction form
    286,319.78/429,408.68 = 96,775.93/x
  3. Step 3: Cross multiply
    286,319.78x = 429,408.68 × 96,775.93
  4. Step 4: Simplify right side
    286,319.78x = 41,556,423,525.49
  5. Step 5: Solve for x
    x = 41,556,423,525.49/286,319.78
  6. Step 6: Final answer
    x = 145,139.90

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1.5x scale

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.