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Finding the Fourth Proportional to 309,573.16, 427,215.48 and 180,508.12

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Solution

The fourth proportional to 309,573.16, 427,215.48 and 180,508.12 is: 249,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,573.16 : 427,215.48 = 180,508.12 : x
  2. Step 2: Convert to fraction form
    309,573.16/427,215.48 = 180,508.12/x
  3. Step 3: Cross multiply
    309,573.16x = 427,215.48 × 180,508.12
  4. Step 4: Simplify right side
    309,573.16x = 77,115,863,129.70
  5. Step 5: Solve for x
    x = 77,115,863,129.70/309,573.16
  6. Step 6: Final answer
    x = 249,103.84

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1.5x scale

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.