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Finding the Fourth Proportional to 531,910.10, 734,518.86 and 395,894.36

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Solution

The fourth proportional to 531,910.10, 734,518.86 and 395,894.36 is: 546,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,910.10 : 734,518.86 = 395,894.36 : x
  2. Step 2: Convert to fraction form
    531,910.10/734,518.86 = 395,894.36/x
  3. Step 3: Cross multiply
    531,910.10x = 734,518.86 × 395,894.36
  4. Step 4: Simplify right side
    531,910.10x = 290,791,873,987.63
  5. Step 5: Solve for x
    x = 290,791,873,987.63/531,910.10
  6. Step 6: Final answer
    x = 546,693.65

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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.