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Finding the Fourth Proportional to 310,208.60, 428,354 and 300,177.56

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Solution

The fourth proportional to 310,208.60, 428,354 and 300,177.56 is: 414,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,208.60 : 428,354 = 300,177.56 : x
  2. Step 2: Convert to fraction form
    310,208.60/428,354 = 300,177.56/x
  3. Step 3: Cross multiply
    310,208.60x = 428,354 × 300,177.56
  4. Step 4: Simplify right side
    310,208.60x = 128,582,258,536.24
  5. Step 5: Solve for x
    x = 128,582,258,536.24/310,208.60
  6. Step 6: Final answer
    x = 414,502.56

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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.