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Finding the Fourth Proportional to 507,889.88, 700,895.93 and 278,468.12

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Solution

The fourth proportional to 507,889.88, 700,895.93 and 278,468.12 is: 384,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,889.88 : 700,895.93 = 278,468.12 : x
  2. Step 2: Convert to fraction form
    507,889.88/700,895.93 = 278,468.12/x
  3. Step 3: Cross multiply
    507,889.88x = 700,895.93 × 278,468.12
  4. Step 4: Simplify right side
    507,889.88x = 195,177,167,045.93
  5. Step 5: Solve for x
    x = 195,177,167,045.93/507,889.88
  6. Step 6: Final answer
    x = 384,290.33

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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.