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Finding the Fourth Proportional to 314,980.80, 472,471.20 and 189,009.60

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Solution

The fourth proportional to 314,980.80, 472,471.20 and 189,009.60 is: 283,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980.80 : 472,471.20 = 189,009.60 : x
  2. Step 2: Convert to fraction form
    314,980.80/472,471.20 = 189,009.60/x
  3. Step 3: Cross multiply
    314,980.80x = 472,471.20 × 189,009.60
  4. Step 4: Simplify right side
    314,980.80x = 89,301,592,523.52
  5. Step 5: Solve for x
    x = 89,301,592,523.52/314,980.80
  6. Step 6: Final answer
    x = 283,514.40

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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.