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Finding the Fourth Proportional to 298,712.52, 412,219.80 and 171,408.06

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Solution

The fourth proportional to 298,712.52, 412,219.80 and 171,408.06 is: 236,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,712.52 : 412,219.80 = 171,408.06 : x
  2. Step 2: Convert to fraction form
    298,712.52/412,219.80 = 171,408.06/x
  3. Step 3: Cross multiply
    298,712.52x = 412,219.80 × 171,408.06
  4. Step 4: Simplify right side
    298,712.52x = 70,657,796,211.59
  5. Step 5: Solve for x
    x = 70,657,796,211.59/298,712.52
  6. Step 6: Final answer
    x = 236,541.13

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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.