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Finding the Fourth Proportional to 513,194.92, 708,224.10 and 286,841

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Solution

The fourth proportional to 513,194.92, 708,224.10 and 286,841 is: 395,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,194.92 : 708,224.10 = 286,841 : x
  2. Step 2: Convert to fraction form
    513,194.92/708,224.10 = 286,841/x
  3. Step 3: Cross multiply
    513,194.92x = 708,224.10 × 286,841
  4. Step 4: Simplify right side
    513,194.92x = 203,147,709,068.10
  5. Step 5: Solve for x
    x = 203,147,709,068.10/513,194.92
  6. Step 6: Final answer
    x = 395,849.03

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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.