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Finding the Fourth Proportional to 318,582.96, 477,814.92 and 128,993.20

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Solution

The fourth proportional to 318,582.96, 477,814.92 and 128,993.20 is: 193,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,582.96 : 477,814.92 = 128,993.20 : x
  2. Step 2: Convert to fraction form
    318,582.96/477,814.92 = 128,993.20/x
  3. Step 3: Cross multiply
    318,582.96x = 477,814.92 × 128,993.20
  4. Step 4: Simplify right side
    318,582.96x = 61,634,875,538.54
  5. Step 5: Solve for x
    x = 61,634,875,538.54/318,582.96
  6. Step 6: Final answer
    x = 193,465.70

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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.