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Finding the Fourth Proportional to 411,985.80, 617,978.70 and 318,558.60

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Solution

The fourth proportional to 411,985.80, 617,978.70 and 318,558.60 is: 477,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,985.80 : 617,978.70 = 318,558.60 : x
  2. Step 2: Convert to fraction form
    411,985.80/617,978.70 = 318,558.60/x
  3. Step 3: Cross multiply
    411,985.80x = 617,978.70 × 318,558.60
  4. Step 4: Simplify right side
    411,985.80x = 196,862,429,501.82
  5. Step 5: Solve for x
    x = 196,862,429,501.82/411,985.80
  6. Step 6: Final answer
    x = 477,837.90

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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.