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Finding the Fourth Proportional to 314,798.32, 436,646.47 and 303,449.68

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Solution

The fourth proportional to 314,798.32, 436,646.47 and 303,449.68 is: 420,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,798.32 : 436,646.47 = 303,449.68 : x
  2. Step 2: Convert to fraction form
    314,798.32/436,646.47 = 303,449.68/x
  3. Step 3: Cross multiply
    314,798.32x = 436,646.47 × 303,449.68
  4. Step 4: Simplify right side
    314,798.32x = 132,500,231,594.63
  5. Step 5: Solve for x
    x = 132,500,231,594.63/314,798.32
  6. Step 6: Final answer
    x = 420,905.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.