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Finding the Fourth Proportional to 307,507.04, 460,923.60 and 120,312.80

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Solution

The fourth proportional to 307,507.04, 460,923.60 and 120,312.80 is: 180,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,507.04 : 460,923.60 = 120,312.80 : x
  2. Step 2: Convert to fraction form
    307,507.04/460,923.60 = 120,312.80/x
  3. Step 3: Cross multiply
    307,507.04x = 460,923.60 × 120,312.80
  4. Step 4: Simplify right side
    307,507.04x = 55,455,008,902.08
  5. Step 5: Solve for x
    x = 55,455,008,902.08/307,507.04
  6. Step 6: Final answer
    x = 180,337.36

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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.