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Finding the Fourth Proportional to 472,478.28, 707,928.36 and 331,985.40

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Solution

The fourth proportional to 472,478.28, 707,928.36 and 331,985.40 is: 497,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,478.28 : 707,928.36 = 331,985.40 : x
  2. Step 2: Convert to fraction form
    472,478.28/707,928.36 = 331,985.40/x
  3. Step 3: Cross multiply
    472,478.28x = 707,928.36 × 331,985.40
  4. Step 4: Simplify right side
    472,478.28x = 235,021,879,765.94
  5. Step 5: Solve for x
    x = 235,021,879,765.94/472,478.28
  6. Step 6: Final answer
    x = 497,423.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.