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Finding the Fourth Proportional to 492,982.61, 680,319.81 and 289,038.78

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Solution

The fourth proportional to 492,982.61, 680,319.81 and 289,038.78 is: 398,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,982.61 : 680,319.81 = 289,038.78 : x
  2. Step 2: Convert to fraction form
    492,982.61/680,319.81 = 289,038.78/x
  3. Step 3: Cross multiply
    492,982.61x = 680,319.81 × 289,038.78
  4. Step 4: Simplify right side
    492,982.61x = 196,638,807,892.23
  5. Step 5: Solve for x
    x = 196,638,807,892.23/492,982.61
  6. Step 6: Final answer
    x = 398,875.75

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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.