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Finding the Fourth Proportional to 427,255.40, 640,940.70 and 146,858.60

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Solution

The fourth proportional to 427,255.40, 640,940.70 and 146,858.60 is: 220,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,255.40 : 640,940.70 = 146,858.60 : x
  2. Step 2: Convert to fraction form
    427,255.40/640,940.70 = 146,858.60/x
  3. Step 3: Cross multiply
    427,255.40x = 640,940.70 × 146,858.60
  4. Step 4: Simplify right side
    427,255.40x = 94,127,653,885.02
  5. Step 5: Solve for x
    x = 94,127,653,885.02/427,255.40
  6. Step 6: Final answer
    x = 220,307.70

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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.