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Finding the Fourth Proportional to 622,464, 859,038.72 and 354,191.36

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Solution

The fourth proportional to 622,464, 859,038.72 and 354,191.36 is: 488,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,464 : 859,038.72 = 354,191.36 : x
  2. Step 2: Convert to fraction form
    622,464/859,038.72 = 354,191.36/x
  3. Step 3: Cross multiply
    622,464x = 859,038.72 × 354,191.36
  4. Step 4: Simplify right side
    622,464x = 304,264,092,529.46
  5. Step 5: Solve for x
    x = 304,264,092,529.46/622,464
  6. Step 6: Final answer
    x = 488,805.93

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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.