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Finding the Fourth Proportional to 316,097.21, 436,221.74 and 180,128.24

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Solution

The fourth proportional to 316,097.21, 436,221.74 and 180,128.24 is: 248,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,097.21 : 436,221.74 = 180,128.24 : x
  2. Step 2: Convert to fraction form
    316,097.21/436,221.74 = 180,128.24/x
  3. Step 3: Cross multiply
    316,097.21x = 436,221.74 × 180,128.24
  4. Step 4: Simplify right side
    316,097.21x = 78,575,854,465.85
  5. Step 5: Solve for x
    x = 78,575,854,465.85/316,097.21
  6. Step 6: Final answer
    x = 248,581.30

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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.