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Finding the Fourth Proportional to 242,253.74, 334,234.91 and 137,460.49

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Solution

The fourth proportional to 242,253.74, 334,234.91 and 137,460.49 is: 189,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,253.74 : 334,234.91 = 137,460.49 : x
  2. Step 2: Convert to fraction form
    242,253.74/334,234.91 = 137,460.49/x
  3. Step 3: Cross multiply
    242,253.74x = 334,234.91 × 137,460.49
  4. Step 4: Simplify right side
    242,253.74x = 45,944,095,118.63
  5. Step 5: Solve for x
    x = 45,944,095,118.63/242,253.74
  6. Step 6: Final answer
    x = 189,652.78

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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.