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Finding the Fourth Proportional to 686,999.65, 948,074.71 and 381,066.06

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Solution

The fourth proportional to 686,999.65, 948,074.71 and 381,066.06 is: 525,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,999.65 : 948,074.71 = 381,066.06 : x
  2. Step 2: Convert to fraction form
    686,999.65/948,074.71 = 381,066.06/x
  3. Step 3: Cross multiply
    686,999.65x = 948,074.71 × 381,066.06
  4. Step 4: Simplify right side
    686,999.65x = 361,279,094,325.34
  5. Step 5: Solve for x
    x = 361,279,094,325.34/686,999.65
  6. Step 6: Final answer
    x = 525,879.59

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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.