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Finding the Fourth Proportional to 298,430.20, 447,645.30 and 101,438.20

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Solution

The fourth proportional to 298,430.20, 447,645.30 and 101,438.20 is: 152,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,430.20 : 447,645.30 = 101,438.20 : x
  2. Step 2: Convert to fraction form
    298,430.20/447,645.30 = 101,438.20/x
  3. Step 3: Cross multiply
    298,430.20x = 447,645.30 × 101,438.20
  4. Step 4: Simplify right side
    298,430.20x = 45,408,333,470.46
  5. Step 5: Solve for x
    x = 45,408,333,470.46/298,430.20
  6. Step 6: Final answer
    x = 152,157.30

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1.5x scale

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.