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Finding the Fourth Proportional to 507,867.78, 700,853.04 and 278,420.88

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Solution

The fourth proportional to 507,867.78, 700,853.04 and 278,420.88 is: 384,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,867.78 : 700,853.04 = 278,420.88 : x
  2. Step 2: Convert to fraction form
    507,867.78/700,853.04 = 278,420.88/x
  3. Step 3: Cross multiply
    507,867.78x = 700,853.04 × 278,420.88
  4. Step 4: Simplify right side
    507,867.78x = 195,132,120,147.48
  5. Step 5: Solve for x
    x = 195,132,120,147.48/507,867.78
  6. Step 6: Final answer
    x = 384,218.35

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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.