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Finding the Fourth Proportional to 465,690.74, 642,645.54 and 258,950.88

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Solution

The fourth proportional to 465,690.74, 642,645.54 and 258,950.88 is: 357,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,690.74 : 642,645.54 = 258,950.88 : x
  2. Step 2: Convert to fraction form
    465,690.74/642,645.54 = 258,950.88/x
  3. Step 3: Cross multiply
    465,690.74x = 642,645.54 × 258,950.88
  4. Step 4: Simplify right side
    465,690.74x = 166,413,628,111.08
  5. Step 5: Solve for x
    x = 166,413,628,111.08/465,690.74
  6. Step 6: Final answer
    x = 357,347.95

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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.