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Finding the Fourth Proportional to 513,342.32, 708,392 and 283,884.72

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Solution

The fourth proportional to 513,342.32, 708,392 and 283,884.72 is: 391,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,342.32 : 708,392 = 283,884.72 : x
  2. Step 2: Convert to fraction form
    513,342.32/708,392 = 283,884.72/x
  3. Step 3: Cross multiply
    513,342.32x = 708,392 × 283,884.72
  4. Step 4: Simplify right side
    513,342.32x = 201,101,664,570.24
  5. Step 5: Solve for x
    x = 201,101,664,570.24/513,342.32
  6. Step 6: Final answer
    x = 391,749.63

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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.