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Finding the Fourth Proportional to 657,253.88, 907,010.70 and 355,447.96

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Solution

The fourth proportional to 657,253.88, 907,010.70 and 355,447.96 is: 490,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,253.88 : 907,010.70 = 355,447.96 : x
  2. Step 2: Convert to fraction form
    657,253.88/907,010.70 = 355,447.96/x
  3. Step 3: Cross multiply
    657,253.88x = 907,010.70 × 355,447.96
  4. Step 4: Simplify right side
    657,253.88x = 322,395,103,013.17
  5. Step 5: Solve for x
    x = 322,395,103,013.17/657,253.88
  6. Step 6: Final answer
    x = 490,518.37

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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.