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Finding the Fourth Proportional to 511,878.28, 706,618.50 and 330,678.52

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Solution

The fourth proportional to 511,878.28, 706,618.50 and 330,678.52 is: 456,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,878.28 : 706,618.50 = 330,678.52 : x
  2. Step 2: Convert to fraction form
    511,878.28/706,618.50 = 330,678.52/x
  3. Step 3: Cross multiply
    511,878.28x = 706,618.50 × 330,678.52
  4. Step 4: Simplify right side
    511,878.28x = 233,663,559,784.62
  5. Step 5: Solve for x
    x = 233,663,559,784.62/511,878.28
  6. Step 6: Final answer
    x = 456,482.66

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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.