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Finding the Fourth Proportional to 421,982.40, 582,237.84 and 249,813.84

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Solution

The fourth proportional to 421,982.40, 582,237.84 and 249,813.84 is: 344,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,982.40 : 582,237.84 = 249,813.84 : x
  2. Step 2: Convert to fraction form
    421,982.40/582,237.84 = 249,813.84/x
  3. Step 3: Cross multiply
    421,982.40x = 582,237.84 × 249,813.84
  4. Step 4: Simplify right side
    421,982.40x = 145,451,070,603.71
  5. Step 5: Solve for x
    x = 145,451,070,603.71/421,982.40
  6. Step 6: Final answer
    x = 344,685.16

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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.