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Finding the Fourth Proportional to 513,138.54, 708,100.65 and 283,682.08

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Solution

The fourth proportional to 513,138.54, 708,100.65 and 283,682.08 is: 391,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,138.54 : 708,100.65 = 283,682.08 : x
  2. Step 2: Convert to fraction form
    513,138.54/708,100.65 = 283,682.08/x
  3. Step 3: Cross multiply
    513,138.54x = 708,100.65 × 283,682.08
  4. Step 4: Simplify right side
    513,138.54x = 200,875,466,126.48
  5. Step 5: Solve for x
    x = 200,875,466,126.48/513,138.54
  6. Step 6: Final answer
    x = 391,464.39

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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.