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Finding the Fourth Proportional to 415,095.10, 622,642.65 and 377,697.40

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Solution

The fourth proportional to 415,095.10, 622,642.65 and 377,697.40 is: 566,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,095.10 : 622,642.65 = 377,697.40 : x
  2. Step 2: Convert to fraction form
    415,095.10/622,642.65 = 377,697.40/x
  3. Step 3: Cross multiply
    415,095.10x = 622,642.65 × 377,697.40
  4. Step 4: Simplify right side
    415,095.10x = 235,170,510,034.11
  5. Step 5: Solve for x
    x = 235,170,510,034.11/415,095.10
  6. Step 6: Final answer
    x = 566,546.10

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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.