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Finding the Fourth Proportional to 507,861.40, 700,844.25 and 278,414.51

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Solution

The fourth proportional to 507,861.40, 700,844.25 and 278,414.51 is: 384,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,861.40 : 700,844.25 = 278,414.51 : x
  2. Step 2: Convert to fraction form
    507,861.40/700,844.25 = 278,414.51/x
  3. Step 3: Cross multiply
    507,861.40x = 700,844.25 × 278,414.51
  4. Step 4: Simplify right side
    507,861.40x = 195,125,210,202.18
  5. Step 5: Solve for x
    x = 195,125,210,202.18/507,861.40
  6. Step 6: Final answer
    x = 384,209.57

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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.