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Finding the Fourth Proportional to 346,780, 520,170 and 97,462

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Solution

The fourth proportional to 346,780, 520,170 and 97,462 is: 146,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,780 : 520,170 = 97,462 : x
  2. Step 2: Convert to fraction form
    346,780/520,170 = 97,462/x
  3. Step 3: Cross multiply
    346,780x = 520,170 × 97,462
  4. Step 4: Simplify right side
    346,780x = 50,696,808,540
  5. Step 5: Solve for x
    x = 50,696,808,540/346,780
  6. Step 6: Final answer
    x = 146,193

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.