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Finding the Fourth Proportional to 527,707.31, 728,234.25 and 285,995.81

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Solution

The fourth proportional to 527,707.31, 728,234.25 and 285,995.81 is: 394,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,707.31 : 728,234.25 = 285,995.81 : x
  2. Step 2: Convert to fraction form
    527,707.31/728,234.25 = 285,995.81/x
  3. Step 3: Cross multiply
    527,707.31x = 728,234.25 × 285,995.81
  4. Step 4: Simplify right side
    527,707.31x = 208,271,944,946.59
  5. Step 5: Solve for x
    x = 208,271,944,946.59/527,707.31
  6. Step 6: Final answer
    x = 394,673.23

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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.