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Finding the Fourth Proportional to 489,830.76, 675,773.28 and 282,962.43

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Solution

The fourth proportional to 489,830.76, 675,773.28 and 282,962.43 is: 390,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,830.76 : 675,773.28 = 282,962.43 : x
  2. Step 2: Convert to fraction form
    489,830.76/675,773.28 = 282,962.43/x
  3. Step 3: Cross multiply
    489,830.76x = 675,773.28 × 282,962.43
  4. Step 4: Simplify right side
    489,830.76x = 191,218,449,437.87
  5. Step 5: Solve for x
    x = 191,218,449,437.87/489,830.76
  6. Step 6: Final answer
    x = 390,376.56

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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.