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Finding the Fourth Proportional to 657,713.92, 907,647.95 and 355,907.92

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Solution

The fourth proportional to 657,713.92, 907,647.95 and 355,907.92 is: 491,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,713.92 : 907,647.95 = 355,907.92 : x
  2. Step 2: Convert to fraction form
    657,713.92/907,647.95 = 355,907.92/x
  3. Step 3: Cross multiply
    657,713.92x = 907,647.95 × 355,907.92
  4. Step 4: Simplify right side
    657,713.92x = 323,039,093,976.76
  5. Step 5: Solve for x
    x = 323,039,093,976.76/657,713.92
  6. Step 6: Final answer
    x = 491,154.41

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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.