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Finding the Fourth Proportional to 280,458.90, 420,834.15 and 122,703.30

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Solution

The fourth proportional to 280,458.90, 420,834.15 and 122,703.30 is: 184,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,458.90 : 420,834.15 = 122,703.30 : x
  2. Step 2: Convert to fraction form
    280,458.90/420,834.15 = 122,703.30/x
  3. Step 3: Cross multiply
    280,458.90x = 420,834.15 × 122,703.30
  4. Step 4: Simplify right side
    280,458.90x = 51,637,738,957.70
  5. Step 5: Solve for x
    x = 51,637,738,957.70/280,458.90
  6. Step 6: Final answer
    x = 184,118.74

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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.