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Finding the Fourth Proportional to 492,435.84, 679,445.74 and 298,839.16

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Solution

The fourth proportional to 492,435.84, 679,445.74 and 298,839.16 is: 412,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,435.84 : 679,445.74 = 298,839.16 : x
  2. Step 2: Convert to fraction form
    492,435.84/679,445.74 = 298,839.16/x
  3. Step 3: Cross multiply
    492,435.84x = 679,445.74 × 298,839.16
  4. Step 4: Simplify right side
    492,435.84x = 203,044,989,927.18
  5. Step 5: Solve for x
    x = 203,044,989,927.18/492,435.84
  6. Step 6: Final answer
    x = 412,327.81

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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.