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Finding the Fourth Proportional to 512,120.42, 706,722.28 and 282,677.67

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Solution

The fourth proportional to 512,120.42, 706,722.28 and 282,677.67 is: 390,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,120.42 : 706,722.28 = 282,677.67 : x
  2. Step 2: Convert to fraction form
    512,120.42/706,722.28 = 282,677.67/x
  3. Step 3: Cross multiply
    512,120.42x = 706,722.28 × 282,677.67
  4. Step 4: Simplify right side
    512,120.42x = 199,774,608,507.60
  5. Step 5: Solve for x
    x = 199,774,608,507.60/512,120.42
  6. Step 6: Final answer
    x = 390,093.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.