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Finding the Fourth Proportional to 622,415.40, 932,067.90 and 497,999.40

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Solution

The fourth proportional to 622,415.40, 932,067.90 and 497,999.40 is: 745,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,415.40 : 932,067.90 = 497,999.40 : x
  2. Step 2: Convert to fraction form
    622,415.40/932,067.90 = 497,999.40/x
  3. Step 3: Cross multiply
    622,415.40x = 932,067.90 × 497,999.40
  4. Step 4: Simplify right side
    622,415.40x = 464,169,254,959.26
  5. Step 5: Solve for x
    x = 464,169,254,959.26/622,415.40
  6. Step 6: Final answer
    x = 745,754.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.