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Finding the Fourth Proportional to 516,928.80, 713,256.96 and 302,027.28

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Solution

The fourth proportional to 516,928.80, 713,256.96 and 302,027.28 is: 416,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,928.80 : 713,256.96 = 302,027.28 : x
  2. Step 2: Convert to fraction form
    516,928.80/713,256.96 = 302,027.28/x
  3. Step 3: Cross multiply
    516,928.80x = 713,256.96 × 302,027.28
  4. Step 4: Simplify right side
    516,928.80x = 215,423,059,569.87
  5. Step 5: Solve for x
    x = 215,423,059,569.87/516,928.80
  6. Step 6: Final answer
    x = 416,736.42

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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.