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Finding the Fourth Proportional to 427,346.15, 640,782.54 and 174,803.96

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Solution

The fourth proportional to 427,346.15, 640,782.54 and 174,803.96 is: 262,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,346.15 : 640,782.54 = 174,803.96 : x
  2. Step 2: Convert to fraction form
    427,346.15/640,782.54 = 174,803.96/x
  3. Step 3: Cross multiply
    427,346.15x = 640,782.54 × 174,803.96
  4. Step 4: Simplify right side
    427,346.15x = 112,011,327,092.82
  5. Step 5: Solve for x
    x = 112,011,327,092.82/427,346.15
  6. Step 6: Final answer
    x = 262,109.13

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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.