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Finding the Fourth Proportional to 657,862.72, 907,872.51 and 403,164.70

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Solution

The fourth proportional to 657,862.72, 907,872.51 and 403,164.70 is: 556,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,862.72 : 907,872.51 = 403,164.70 : x
  2. Step 2: Convert to fraction form
    657,862.72/907,872.51 = 403,164.70/x
  3. Step 3: Cross multiply
    657,862.72x = 907,872.51 × 403,164.70
  4. Step 4: Simplify right side
    657,862.72x = 366,022,147,374.58
  5. Step 5: Solve for x
    x = 366,022,147,374.58/657,862.72
  6. Step 6: Final answer
    x = 556,380.74

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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.