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Finding the Fourth Proportional to 427,433.54, 640,307.76 and 347,561.66

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Solution

The fourth proportional to 427,433.54, 640,307.76 and 347,561.66 is: 520,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,433.54 : 640,307.76 = 347,561.66 : x
  2. Step 2: Convert to fraction form
    427,433.54/640,307.76 = 347,561.66/x
  3. Step 3: Cross multiply
    427,433.54x = 640,307.76 × 347,561.66
  4. Step 4: Simplify right side
    427,433.54x = 222,546,426,238.67
  5. Step 5: Solve for x
    x = 222,546,426,238.67/427,433.54
  6. Step 6: Final answer
    x = 520,657.38

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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.