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Finding the Fourth Proportional to 657,435, 907,261.16 and 355,629

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Solution

The fourth proportional to 657,435, 907,261.16 and 355,629 is: 490,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,435 : 907,261.16 = 355,629 : x
  2. Step 2: Convert to fraction form
    657,435/907,261.16 = 355,629/x
  3. Step 3: Cross multiply
    657,435x = 907,261.16 × 355,629
  4. Step 4: Simplify right side
    657,435x = 322,648,379,069.64
  5. Step 5: Solve for x
    x = 322,648,379,069.64/657,435
  6. Step 6: Final answer
    x = 490,768.49

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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.