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Finding the Fourth Proportional to 457,176.27, 631,211.54 and 285,355.98

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Solution

The fourth proportional to 457,176.27, 631,211.54 and 285,355.98 is: 393,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,176.27 : 631,211.54 = 285,355.98 : x
  2. Step 2: Convert to fraction form
    457,176.27/631,211.54 = 285,355.98/x
  3. Step 3: Cross multiply
    457,176.27x = 631,211.54 × 285,355.98
  4. Step 4: Simplify right side
    457,176.27x = 180,119,986,157.23
  5. Step 5: Solve for x
    x = 180,119,986,157.23/457,176.27
  6. Step 6: Final answer
    x = 393,983.67

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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.