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Finding the Fourth Proportional to 320,009.70, 480,014.55 and 142,601.70

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Solution

The fourth proportional to 320,009.70, 480,014.55 and 142,601.70 is: 213,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,009.70 : 480,014.55 = 142,601.70 : x
  2. Step 2: Convert to fraction form
    320,009.70/480,014.55 = 142,601.70/x
  3. Step 3: Cross multiply
    320,009.70x = 480,014.55 × 142,601.70
  4. Step 4: Simplify right side
    320,009.70x = 68,450,890,854.74
  5. Step 5: Solve for x
    x = 68,450,890,854.74/320,009.70
  6. Step 6: Final answer
    x = 213,902.55

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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.