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Finding the Fourth Proportional to 299,703, 413,591.58 and 172,386.12

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Solution

The fourth proportional to 299,703, 413,591.58 and 172,386.12 is: 237,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,703 : 413,591.58 = 172,386.12 : x
  2. Step 2: Convert to fraction form
    299,703/413,591.58 = 172,386.12/x
  3. Step 3: Cross multiply
    299,703x = 413,591.58 × 172,386.12
  4. Step 4: Simplify right side
    299,703x = 71,297,447,740.87
  5. Step 5: Solve for x
    x = 71,297,447,740.87/299,703
  6. Step 6: Final answer
    x = 237,893.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.