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Finding the Fourth Proportional to 772,407, 1,065,987.27 and 432,940.86

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Solution

The fourth proportional to 772,407, 1,065,987.27 and 432,940.86 is: 597,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,407 : 1,065,987.27 = 432,940.86 : x
  2. Step 2: Convert to fraction form
    772,407/1,065,987.27 = 432,940.86/x
  3. Step 3: Cross multiply
    772,407x = 1,065,987.27 × 432,940.86
  4. Step 4: Simplify right side
    772,407x = 461,509,445,422.85
  5. Step 5: Solve for x
    x = 461,509,445,422.85/772,407
  6. Step 6: Final answer
    x = 597,495.16

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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.