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Finding the Fourth Proportional to 345,197, 476,126.42 and 230,417.76

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Solution

The fourth proportional to 345,197, 476,126.42 and 230,417.76 is: 317,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,197 : 476,126.42 = 230,417.76 : x
  2. Step 2: Convert to fraction form
    345,197/476,126.42 = 230,417.76/x
  3. Step 3: Cross multiply
    345,197x = 476,126.42 × 230,417.76
  4. Step 4: Simplify right side
    345,197x = 109,707,983,173.22
  5. Step 5: Solve for x
    x = 109,707,983,173.22/345,197
  6. Step 6: Final answer
    x = 317,812.68

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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.