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Finding the Fourth Proportional to 657,843.84, 907,846.29 and 403,145.82

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Solution

The fourth proportional to 657,843.84, 907,846.29 and 403,145.82 is: 556,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,843.84 : 907,846.29 = 403,145.82 : x
  2. Step 2: Convert to fraction form
    657,843.84/907,846.29 = 403,145.82/x
  3. Step 3: Cross multiply
    657,843.84x = 907,846.29 × 403,145.82
  4. Step 4: Simplify right side
    657,843.84x = 365,994,437,016.01
  5. Step 5: Solve for x
    x = 365,994,437,016.01/657,843.84
  6. Step 6: Final answer
    x = 556,354.59

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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.