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Finding the Fourth Proportional to 539,374.86, 744,334.14 and 313,015.50

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Solution

The fourth proportional to 539,374.86, 744,334.14 and 313,015.50 is: 431,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,374.86 : 744,334.14 = 313,015.50 : x
  2. Step 2: Convert to fraction form
    539,374.86/744,334.14 = 313,015.50/x
  3. Step 3: Cross multiply
    539,374.86x = 744,334.14 × 313,015.50
  4. Step 4: Simplify right side
    539,374.86x = 232,988,122,999.17
  5. Step 5: Solve for x
    x = 232,988,122,999.17/539,374.86
  6. Step 6: Final answer
    x = 431,959.55

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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.