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Finding the Fourth Proportional to 297,785.40, 446,735.70 and 87,430.20

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Solution

The fourth proportional to 297,785.40, 446,735.70 and 87,430.20 is: 131,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,785.40 : 446,735.70 = 87,430.20 : x
  2. Step 2: Convert to fraction form
    297,785.40/446,735.70 = 87,430.20/x
  3. Step 3: Cross multiply
    297,785.40x = 446,735.70 × 87,430.20
  4. Step 4: Simplify right side
    297,785.40x = 39,058,191,598.14
  5. Step 5: Solve for x
    x = 39,058,191,598.14/297,785.40
  6. Step 6: Final answer
    x = 131,162.21

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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.