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Finding the Fourth Proportional to 298,413, 411,809.94 and 171,130.68

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Solution

The fourth proportional to 298,413, 411,809.94 and 171,130.68 is: 236,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413 : 411,809.94 = 171,130.68 : x
  2. Step 2: Convert to fraction form
    298,413/411,809.94 = 171,130.68/x
  3. Step 3: Cross multiply
    298,413x = 411,809.94 × 171,130.68
  4. Step 4: Simplify right side
    298,413x = 70,473,315,062.96
  5. Step 5: Solve for x
    x = 70,473,315,062.96/298,413
  6. Step 6: Final answer
    x = 236,160.34

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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.