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Finding the Fourth Proportional to 516,329.76, 712,544.22 and 286,908.24

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Solution

The fourth proportional to 516,329.76, 712,544.22 and 286,908.24 is: 395,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,329.76 : 712,544.22 = 286,908.24 : x
  2. Step 2: Convert to fraction form
    516,329.76/712,544.22 = 286,908.24/x
  3. Step 3: Cross multiply
    516,329.76x = 712,544.22 × 286,908.24
  4. Step 4: Simplify right side
    516,329.76x = 204,434,808,082.37
  5. Step 5: Solve for x
    x = 204,434,808,082.37/516,329.76
  6. Step 6: Final answer
    x = 395,938.46

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Double scale
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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.