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Finding the Fourth Proportional to 513,208.82, 708,215.58 and 283,760.06

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Solution

The fourth proportional to 513,208.82, 708,215.58 and 283,760.06 is: 391,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,208.82 : 708,215.58 = 283,760.06 : x
  2. Step 2: Convert to fraction form
    513,208.82/708,215.58 = 283,760.06/x
  3. Step 3: Cross multiply
    513,208.82x = 708,215.58 × 283,760.06
  4. Step 4: Simplify right side
    513,208.82x = 200,963,295,473.74
  5. Step 5: Solve for x
    x = 200,963,295,473.74/513,208.82
  6. Step 6: Final answer
    x = 391,581.92

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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.