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Finding the Fourth Proportional to 512,038.82, 706,653.64 and 282,641.65

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Solution

The fourth proportional to 512,038.82, 706,653.64 and 282,641.65 is: 390,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,038.82 : 706,653.64 = 282,641.65 : x
  2. Step 2: Convert to fraction form
    512,038.82/706,653.64 = 282,641.65/x
  3. Step 3: Cross multiply
    512,038.82x = 706,653.64 × 282,641.65
  4. Step 4: Simplify right side
    512,038.82x = 199,729,754,144.63
  5. Step 5: Solve for x
    x = 199,729,754,144.63/512,038.82
  6. Step 6: Final answer
    x = 390,067.60

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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.