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Finding the Fourth Proportional to 657,708.56, 907,640.22 and 355,902.56

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Solution

The fourth proportional to 657,708.56, 907,640.22 and 355,902.56 is: 491,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,708.56 : 907,640.22 = 355,902.56 : x
  2. Step 2: Convert to fraction form
    657,708.56/907,640.22 = 355,902.56/x
  3. Step 3: Cross multiply
    657,708.56x = 907,640.22 × 355,902.56
  4. Step 4: Simplify right side
    657,708.56x = 323,031,477,856.96
  5. Step 5: Solve for x
    x = 323,031,477,856.96/657,708.56
  6. Step 6: Final answer
    x = 491,146.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.