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Finding the Fourth Proportional to 612,946.94, 920,273.34 and 313,634.12

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Solution

The fourth proportional to 612,946.94, 920,273.34 and 313,634.12 is: 470,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,946.94 : 920,273.34 = 313,634.12 : x
  2. Step 2: Convert to fraction form
    612,946.94/920,273.34 = 313,634.12/x
  3. Step 3: Cross multiply
    612,946.94x = 920,273.34 × 313,634.12
  4. Step 4: Simplify right side
    612,946.94x = 288,629,119,150.36
  5. Step 5: Solve for x
    x = 288,629,119,150.36/612,946.94
  6. Step 6: Final answer
    x = 470,887.61

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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.