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Finding the Fourth Proportional to 442,977.60, 664,466.40 and 413,234.40

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Solution

The fourth proportional to 442,977.60, 664,466.40 and 413,234.40 is: 619,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,977.60 : 664,466.40 = 413,234.40 : x
  2. Step 2: Convert to fraction form
    442,977.60/664,466.40 = 413,234.40/x
  3. Step 3: Cross multiply
    442,977.60x = 664,466.40 × 413,234.40
  4. Step 4: Simplify right side
    442,977.60x = 274,580,374,124.16
  5. Step 5: Solve for x
    x = 274,580,374,124.16/442,977.60
  6. Step 6: Final answer
    x = 619,851.60

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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.