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Finding the Fourth Proportional to 309,189.60, 463,180.37 and 213,109.74

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Solution

The fourth proportional to 309,189.60, 463,180.37 and 213,109.74 is: 319,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,189.60 : 463,180.37 = 213,109.74 : x
  2. Step 2: Convert to fraction form
    309,189.60/463,180.37 = 213,109.74/x
  3. Step 3: Cross multiply
    309,189.60x = 463,180.37 × 213,109.74
  4. Step 4: Simplify right side
    309,189.60x = 98,708,247,158.26
  5. Step 5: Solve for x
    x = 98,708,247,158.26/309,189.60
  6. Step 6: Final answer
    x = 319,248.28

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1.5x scale

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.