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Finding the Fourth Proportional to 310,754.94, 430,465.97 and 304,456.38

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Solution

The fourth proportional to 310,754.94, 430,465.97 and 304,456.38 is: 421,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,754.94 : 430,465.97 = 304,456.38 : x
  2. Step 2: Convert to fraction form
    310,754.94/430,465.97 = 304,456.38/x
  3. Step 3: Cross multiply
    310,754.94x = 430,465.97 × 304,456.38
  4. Step 4: Simplify right side
    310,754.94x = 131,058,109,417.11
  5. Step 5: Solve for x
    x = 131,058,109,417.11/310,754.94
  6. Step 6: Final answer
    x = 421,741.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.