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Finding the Fourth Proportional to 657,351, 907,146 and 355,545

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Solution

The fourth proportional to 657,351, 907,146 and 355,545 is: 490,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,351 : 907,146 = 355,545 : x
  2. Step 2: Convert to fraction form
    657,351/907,146 = 355,545/x
  3. Step 3: Cross multiply
    657,351x = 907,146 × 355,545
  4. Step 4: Simplify right side
    657,351x = 322,531,224,570
  5. Step 5: Solve for x
    x = 322,531,224,570/657,351
  6. Step 6: Final answer
    x = 490,652.98

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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.