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Finding the Fourth Proportional to 527,297.69, 727,670.58 and 285,580.26

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Solution

The fourth proportional to 527,297.69, 727,670.58 and 285,580.26 is: 394,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,297.69 : 727,670.58 = 285,580.26 : x
  2. Step 2: Convert to fraction form
    527,297.69/727,670.58 = 285,580.26/x
  3. Step 3: Cross multiply
    527,297.69x = 727,670.58 × 285,580.26
  4. Step 4: Simplify right side
    527,297.69x = 207,808,353,430.75
  5. Step 5: Solve for x
    x = 207,808,353,430.75/527,297.69
  6. Step 6: Final answer
    x = 394,100.64

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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.