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Finding the Fourth Proportional to 209,985.60, 314,978.40 and 206,486.40

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Solution

The fourth proportional to 209,985.60, 314,978.40 and 206,486.40 is: 309,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,985.60 : 314,978.40 = 206,486.40 : x
  2. Step 2: Convert to fraction form
    209,985.60/314,978.40 = 206,486.40/x
  3. Step 3: Cross multiply
    209,985.60x = 314,978.40 × 206,486.40
  4. Step 4: Simplify right side
    209,985.60x = 65,038,755,893.76
  5. Step 5: Solve for x
    x = 65,038,755,893.76/209,985.60
  6. Step 6: Final answer
    x = 309,729.60

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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.