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Finding the Fourth Proportional to 511,830.68, 706,552.82 and 330,630.95

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Solution

The fourth proportional to 511,830.68, 706,552.82 and 330,630.95 is: 456,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,830.68 : 706,552.82 = 330,630.95 : x
  2. Step 2: Convert to fraction form
    511,830.68/706,552.82 = 330,630.95/x
  3. Step 3: Cross multiply
    511,830.68x = 706,552.82 × 330,630.95
  4. Step 4: Simplify right side
    511,830.68x = 233,608,224,915.86
  5. Step 5: Solve for x
    x = 233,608,224,915.86/511,830.68
  6. Step 6: Final answer
    x = 456,417.01

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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.