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Finding the Fourth Proportional to 511,788.69, 706,307.58 and 282,390.26

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Solution

The fourth proportional to 511,788.69, 706,307.58 and 282,390.26 is: 389,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,788.69 : 706,307.58 = 282,390.26 : x
  2. Step 2: Convert to fraction form
    511,788.69/706,307.58 = 282,390.26/x
  3. Step 3: Cross multiply
    511,788.69x = 706,307.58 × 282,390.26
  4. Step 4: Simplify right side
    511,788.69x = 199,454,377,624.63
  5. Step 5: Solve for x
    x = 199,454,377,624.63/511,788.69
  6. Step 6: Final answer
    x = 389,720.17

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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.