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Finding the Fourth Proportional to 343,459, 473,812.14 and 242,912.44

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Solution

The fourth proportional to 343,459, 473,812.14 and 242,912.44 is: 335,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,459 : 473,812.14 = 242,912.44 : x
  2. Step 2: Convert to fraction form
    343,459/473,812.14 = 242,912.44/x
  3. Step 3: Cross multiply
    343,459x = 473,812.14 × 242,912.44
  4. Step 4: Simplify right side
    343,459x = 115,094,863,029.02
  5. Step 5: Solve for x
    x = 115,094,863,029.02/343,459
  6. Step 6: Final answer
    x = 335,105.10

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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.