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Finding the Fourth Proportional to 492,419.66, 679,591.36 and 288,641.78

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Solution

The fourth proportional to 492,419.66, 679,591.36 and 288,641.78 is: 398,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,419.66 : 679,591.36 = 288,641.78 : x
  2. Step 2: Convert to fraction form
    492,419.66/679,591.36 = 288,641.78/x
  3. Step 3: Cross multiply
    492,419.66x = 679,591.36 × 288,641.78
  4. Step 4: Simplify right side
    492,419.66x = 196,158,459,823.02
  5. Step 5: Solve for x
    x = 196,158,459,823.02/492,419.66
  6. Step 6: Final answer
    x = 398,356.27

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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.