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Finding the Fourth Proportional to 346,777, 520,165.50 and 97,459

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Solution

The fourth proportional to 346,777, 520,165.50 and 97,459 is: 146,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,777 : 520,165.50 = 97,459 : x
  2. Step 2: Convert to fraction form
    346,777/520,165.50 = 97,459/x
  3. Step 3: Cross multiply
    346,777x = 520,165.50 × 97,459
  4. Step 4: Simplify right side
    346,777x = 50,694,809,464.50
  5. Step 5: Solve for x
    x = 50,694,809,464.50/346,777
  6. Step 6: Final answer
    x = 146,188.50

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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.