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Finding the Fourth Proportional to 391,878.63, 589,146.69 and 312,925.20

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Solution

The fourth proportional to 391,878.63, 589,146.69 and 312,925.20 is: 470,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,878.63 : 589,146.69 = 312,925.20 : x
  2. Step 2: Convert to fraction form
    391,878.63/589,146.69 = 312,925.20/x
  3. Step 3: Cross multiply
    391,878.63x = 589,146.69 × 312,925.20
  4. Step 4: Simplify right side
    391,878.63x = 184,358,845,797.59
  5. Step 5: Solve for x
    x = 184,358,845,797.59/391,878.63
  6. Step 6: Final answer
    x = 470,448.84

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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.