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Finding the Fourth Proportional to 427,430.30, 640,908.45 and 174,887.96

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Solution

The fourth proportional to 427,430.30, 640,908.45 and 174,887.96 is: 262,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,430.30 : 640,908.45 = 174,887.96 : x
  2. Step 2: Convert to fraction form
    427,430.30/640,908.45 = 174,887.96/x
  3. Step 3: Cross multiply
    427,430.30x = 640,908.45 × 174,887.96
  4. Step 4: Simplify right side
    427,430.30x = 112,087,168,162.72
  5. Step 5: Solve for x
    x = 112,087,168,162.72/427,430.30
  6. Step 6: Final answer
    x = 262,234.96

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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.