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Finding the Fourth Proportional to 873,402.54, 1,205,215.77 and 510,763.32

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Solution

The fourth proportional to 873,402.54, 1,205,215.77 and 510,763.32 is: 704,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,402.54 : 1,205,215.77 = 510,763.32 : x
  2. Step 2: Convert to fraction form
    873,402.54/1,205,215.77 = 510,763.32/x
  3. Step 3: Cross multiply
    873,402.54x = 1,205,215.77 × 510,763.32
  4. Step 4: Simplify right side
    873,402.54x = 615,580,008,001.56
  5. Step 5: Solve for x
    x = 615,580,008,001.56/873,402.54
  6. Step 6: Final answer
    x = 704,806.75

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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.