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Finding the Fourth Proportional to 310,459.52, 428,429.76 and 203,208.32

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Solution

The fourth proportional to 310,459.52, 428,429.76 and 203,208.32 is: 280,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,459.52 : 428,429.76 = 203,208.32 : x
  2. Step 2: Convert to fraction form
    310,459.52/428,429.76 = 203,208.32/x
  3. Step 3: Cross multiply
    310,459.52x = 428,429.76 × 203,208.32
  4. Step 4: Simplify right side
    310,459.52x = 87,060,491,767.60
  5. Step 5: Solve for x
    x = 87,060,491,767.60/310,459.52
  6. Step 6: Final answer
    x = 280,424.62

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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.