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Finding the Fourth Proportional to 427,102.80, 639,779.40 and 216,859.20

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Solution

The fourth proportional to 427,102.80, 639,779.40 and 216,859.20 is: 324,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,102.80 : 639,779.40 = 216,859.20 : x
  2. Step 2: Convert to fraction form
    427,102.80/639,779.40 = 216,859.20/x
  3. Step 3: Cross multiply
    427,102.80x = 639,779.40 × 216,859.20
  4. Step 4: Simplify right side
    427,102.80x = 138,742,048,860.48
  5. Step 5: Solve for x
    x = 138,742,048,860.48/427,102.80
  6. Step 6: Final answer
    x = 324,844.62

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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.