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Finding the Fourth Proportional to 391,877.63, 589,145.19 and 312,924.20

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Solution

The fourth proportional to 391,877.63, 589,145.19 and 312,924.20 is: 470,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,877.63 : 589,145.19 = 312,924.20 : x
  2. Step 2: Convert to fraction form
    391,877.63/589,145.19 = 312,924.20/x
  3. Step 3: Cross multiply
    391,877.63x = 589,145.19 × 312,924.20
  4. Step 4: Simplify right side
    391,877.63x = 184,357,784,318.87
  5. Step 5: Solve for x
    x = 184,357,784,318.87/391,877.63
  6. Step 6: Final answer
    x = 470,447.33

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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.