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Finding the Fourth Proportional to 427,245.40, 640,868.10 and 410,915.80

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Solution

The fourth proportional to 427,245.40, 640,868.10 and 410,915.80 is: 616,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,245.40 : 640,868.10 = 410,915.80 : x
  2. Step 2: Convert to fraction form
    427,245.40/640,868.10 = 410,915.80/x
  3. Step 3: Cross multiply
    427,245.40x = 640,868.10 × 410,915.80
  4. Step 4: Simplify right side
    427,245.40x = 263,342,828,005.98
  5. Step 5: Solve for x
    x = 263,342,828,005.98/427,245.40
  6. Step 6: Final answer
    x = 616,373.70

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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.