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Finding the Fourth Proportional to 662,409.20, 993,905.40 and 307,240.40

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Solution

The fourth proportional to 662,409.20, 993,905.40 and 307,240.40 is: 460,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,409.20 : 993,905.40 = 307,240.40 : x
  2. Step 2: Convert to fraction form
    662,409.20/993,905.40 = 307,240.40/x
  3. Step 3: Cross multiply
    662,409.20x = 993,905.40 × 307,240.40
  4. Step 4: Simplify right side
    662,409.20x = 305,367,892,658.16
  5. Step 5: Solve for x
    x = 305,367,892,658.16/662,409.20
  6. Step 6: Final answer
    x = 460,995.85

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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.