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Finding the Fourth Proportional to 383,546.09, 575,459.40 and 178,478.54

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Solution

The fourth proportional to 383,546.09, 575,459.40 and 178,478.54 is: 267,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,546.09 : 575,459.40 = 178,478.54 : x
  2. Step 2: Convert to fraction form
    383,546.09/575,459.40 = 178,478.54/x
  3. Step 3: Cross multiply
    383,546.09x = 575,459.40 × 178,478.54
  4. Step 4: Simplify right side
    383,546.09x = 102,707,153,541.28
  5. Step 5: Solve for x
    x = 102,707,153,541.28/383,546.09
  6. Step 6: Final answer
    x = 267,783.08

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1.5x scale

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.