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Finding the Fourth Proportional to 416,307.60, 624,461.40 and 298,209.60

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Solution

The fourth proportional to 416,307.60, 624,461.40 and 298,209.60 is: 447,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,307.60 : 624,461.40 = 298,209.60 : x
  2. Step 2: Convert to fraction form
    416,307.60/624,461.40 = 298,209.60/x
  3. Step 3: Cross multiply
    416,307.60x = 624,461.40 × 298,209.60
  4. Step 4: Simplify right side
    416,307.60x = 186,220,384,309.44
  5. Step 5: Solve for x
    x = 186,220,384,309.44/416,307.60
  6. Step 6: Final answer
    x = 447,314.40

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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.