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Finding the Fourth Proportional to 706,458.70, 974,931.42 and 384,187.60

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Solution

The fourth proportional to 706,458.70, 974,931.42 and 384,187.60 is: 530,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,458.70 : 974,931.42 = 384,187.60 : x
  2. Step 2: Convert to fraction form
    706,458.70/974,931.42 = 384,187.60/x
  3. Step 3: Cross multiply
    706,458.70x = 974,931.42 × 384,187.60
  4. Step 4: Simplify right side
    706,458.70x = 374,556,562,414.39
  5. Step 5: Solve for x
    x = 374,556,562,414.39/706,458.70
  6. Step 6: Final answer
    x = 530,188.90

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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.