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Finding the Fourth Proportional to 411,401.60, 617,102.40 and 343,750.40

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Solution

The fourth proportional to 411,401.60, 617,102.40 and 343,750.40 is: 515,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,401.60 : 617,102.40 = 343,750.40 : x
  2. Step 2: Convert to fraction form
    411,401.60/617,102.40 = 343,750.40/x
  3. Step 3: Cross multiply
    411,401.60x = 617,102.40 × 343,750.40
  4. Step 4: Simplify right side
    411,401.60x = 212,129,196,840.96
  5. Step 5: Solve for x
    x = 212,129,196,840.96/411,401.60
  6. Step 6: Final answer
    x = 515,625.60

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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.