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Finding the Fourth Proportional to 656,779.25, 906,354.97 and 354,973.25

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Solution

The fourth proportional to 656,779.25, 906,354.97 and 354,973.25 is: 489,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,779.25 : 906,354.97 = 354,973.25 : x
  2. Step 2: Convert to fraction form
    656,779.25/906,354.97 = 354,973.25/x
  3. Step 3: Cross multiply
    656,779.25x = 906,354.97 × 354,973.25
  4. Step 4: Simplify right side
    656,779.25x = 321,731,770,733.01
  5. Step 5: Solve for x
    x = 321,731,770,733.01/656,779.25
  6. Step 6: Final answer
    x = 489,862.87

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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.