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Finding the Fourth Proportional to 657,433, 907,258.40 and 355,627

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Solution

The fourth proportional to 657,433, 907,258.40 and 355,627 is: 490,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,433 : 907,258.40 = 355,627 : x
  2. Step 2: Convert to fraction form
    657,433/907,258.40 = 355,627/x
  3. Step 3: Cross multiply
    657,433x = 907,258.40 × 355,627
  4. Step 4: Simplify right side
    657,433x = 322,645,583,016.80
  5. Step 5: Solve for x
    x = 322,645,583,016.80/657,433
  6. Step 6: Final answer
    x = 490,765.73

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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.