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Finding the Fourth Proportional to 511,830.06, 706,551.96 and 330,630.32

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Solution

The fourth proportional to 511,830.06, 706,551.96 and 330,630.32 is: 456,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,830.06 : 706,551.96 = 330,630.32 : x
  2. Step 2: Convert to fraction form
    511,830.06/706,551.96 = 330,630.32/x
  3. Step 3: Cross multiply
    511,830.06x = 706,551.96 × 330,630.32
  4. Step 4: Simplify right side
    511,830.06x = 233,607,498,978.28
  5. Step 5: Solve for x
    x = 233,607,498,978.28/511,830.06
  6. Step 6: Final answer
    x = 456,416.14

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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.