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Finding the Fourth Proportional to 309,656.88, 427,225.52 and 180,566.16

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Solution

The fourth proportional to 309,656.88, 427,225.52 and 180,566.16 is: 249,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,656.88 : 427,225.52 = 180,566.16 : x
  2. Step 2: Convert to fraction form
    309,656.88/427,225.52 = 180,566.16/x
  3. Step 3: Cross multiply
    309,656.88x = 427,225.52 × 180,566.16
  4. Step 4: Simplify right side
    309,656.88x = 77,142,471,600.40
  5. Step 5: Solve for x
    x = 77,142,471,600.40/309,656.88
  6. Step 6: Final answer
    x = 249,122.42

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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.