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Finding the Fourth Proportional to 307,046.92, 460,220.46 and 140,485

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Solution

The fourth proportional to 307,046.92, 460,220.46 and 140,485 is: 210,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,046.92 : 460,220.46 = 140,485 : x
  2. Step 2: Convert to fraction form
    307,046.92/460,220.46 = 140,485/x
  3. Step 3: Cross multiply
    307,046.92x = 460,220.46 × 140,485
  4. Step 4: Simplify right side
    307,046.92x = 64,654,071,323.10
  5. Step 5: Solve for x
    x = 64,654,071,323.10/307,046.92
  6. Step 6: Final answer
    x = 210,567.40

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1.5x scale

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.