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Finding the Fourth Proportional to 199,430.64, 299,285.96 and 180,373.37

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Solution

The fourth proportional to 199,430.64, 299,285.96 and 180,373.37 is: 270,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,430.64 : 299,285.96 = 180,373.37 : x
  2. Step 2: Convert to fraction form
    199,430.64/299,285.96 = 180,373.37/x
  3. Step 3: Cross multiply
    199,430.64x = 299,285.96 × 180,373.37
  4. Step 4: Simplify right side
    199,430.64x = 53,983,214,800.59
  5. Step 5: Solve for x
    x = 53,983,214,800.59/199,430.64
  6. Step 6: Final answer
    x = 270,686.66

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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.