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Finding the Fourth Proportional to 518,493.40, 777,740.10 and 413,517.40

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Solution

The fourth proportional to 518,493.40, 777,740.10 and 413,517.40 is: 620,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,493.40 : 777,740.10 = 413,517.40 : x
  2. Step 2: Convert to fraction form
    518,493.40/777,740.10 = 413,517.40/x
  3. Step 3: Cross multiply
    518,493.40x = 777,740.10 × 413,517.40
  4. Step 4: Simplify right side
    518,493.40x = 321,609,064,027.74
  5. Step 5: Solve for x
    x = 321,609,064,027.74/518,493.40
  6. Step 6: Final answer
    x = 620,276.10

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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.