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Finding the Fourth Proportional to 307,128.61, 460,692.96 and 120,008.89

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Solution

The fourth proportional to 307,128.61, 460,692.96 and 120,008.89 is: 180,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,128.61 : 460,692.96 = 120,008.89 : x
  2. Step 2: Convert to fraction form
    307,128.61/460,692.96 = 120,008.89/x
  3. Step 3: Cross multiply
    307,128.61x = 460,692.96 × 120,008.89
  4. Step 4: Simplify right side
    307,128.61x = 55,287,250,760.41
  5. Step 5: Solve for x
    x = 55,287,250,760.41/307,128.61
  6. Step 6: Final answer
    x = 180,013.35

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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.