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Finding the Fourth Proportional to 409,264.80, 613,897.20 and 283,293.60

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Solution

The fourth proportional to 409,264.80, 613,897.20 and 283,293.60 is: 424,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,264.80 : 613,897.20 = 283,293.60 : x
  2. Step 2: Convert to fraction form
    409,264.80/613,897.20 = 283,293.60/x
  3. Step 3: Cross multiply
    409,264.80x = 613,897.20 × 283,293.60
  4. Step 4: Simplify right side
    409,264.80x = 173,913,147,817.92
  5. Step 5: Solve for x
    x = 173,913,147,817.92/409,264.80
  6. Step 6: Final answer
    x = 424,940.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.