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Finding the Fourth Proportional to 431,205.60, 646,808.40 and 194,661.60

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Solution

The fourth proportional to 431,205.60, 646,808.40 and 194,661.60 is: 291,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,205.60 : 646,808.40 = 194,661.60 : x
  2. Step 2: Convert to fraction form
    431,205.60/646,808.40 = 194,661.60/x
  3. Step 3: Cross multiply
    431,205.60x = 646,808.40 × 194,661.60
  4. Step 4: Simplify right side
    431,205.60x = 125,908,758,037.44
  5. Step 5: Solve for x
    x = 125,908,758,037.44/431,205.60
  6. Step 6: Final answer
    x = 291,992.40

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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.