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Finding the Fourth Proportional to 311,925, 430,498.62 and 175,986.84

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Solution

The fourth proportional to 311,925, 430,498.62 and 175,986.84 is: 242,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,925 : 430,498.62 = 175,986.84 : x
  2. Step 2: Convert to fraction form
    311,925/430,498.62 = 175,986.84/x
  3. Step 3: Cross multiply
    311,925x = 430,498.62 × 175,986.84
  4. Step 4: Simplify right side
    311,925x = 75,762,091,758.16
  5. Step 5: Solve for x
    x = 75,762,091,758.16/311,925
  6. Step 6: Final answer
    x = 242,885.60

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1.5x scale

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.