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Finding the Fourth Proportional to 512,022.96, 706,631.76 and 282,625.79

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Solution

The fourth proportional to 512,022.96, 706,631.76 and 282,625.79 is: 390,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,022.96 : 706,631.76 = 282,625.79 : x
  2. Step 2: Convert to fraction form
    512,022.96/706,631.76 = 282,625.79/x
  3. Step 3: Cross multiply
    512,022.96x = 706,631.76 × 282,625.79
  4. Step 4: Simplify right side
    512,022.96x = 199,712,359,409.09
  5. Step 5: Solve for x
    x = 199,712,359,409.09/512,022.96
  6. Step 6: Final answer
    x = 390,045.71

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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.