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Finding the Fourth Proportional to 346,697.70, 520,046.55 and 307,299.30

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Solution

The fourth proportional to 346,697.70, 520,046.55 and 307,299.30 is: 460,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,697.70 : 520,046.55 = 307,299.30 : x
  2. Step 2: Convert to fraction form
    346,697.70/520,046.55 = 307,299.30/x
  3. Step 3: Cross multiply
    346,697.70x = 520,046.55 × 307,299.30
  4. Step 4: Simplify right side
    346,697.70x = 159,809,940,782.42
  5. Step 5: Solve for x
    x = 159,809,940,782.42/346,697.70
  6. Step 6: Final answer
    x = 460,948.95

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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.