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Finding the Fourth Proportional to 527,293.25, 727,664.47 and 285,575.84

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Solution

The fourth proportional to 527,293.25, 727,664.47 and 285,575.84 is: 394,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,293.25 : 727,664.47 = 285,575.84 : x
  2. Step 2: Convert to fraction form
    527,293.25/727,664.47 = 285,575.84/x
  3. Step 3: Cross multiply
    527,293.25x = 727,664.47 × 285,575.84
  4. Step 4: Simplify right side
    527,293.25x = 207,803,389,270.51
  5. Step 5: Solve for x
    x = 207,803,389,270.51/527,293.25
  6. Step 6: Final answer
    x = 394,094.54

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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.