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Finding the Fourth Proportional to 209,595.60, 313,775.64 and 138,387.60

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Solution

The fourth proportional to 209,595.60, 313,775.64 and 138,387.60 is: 207,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595.60 : 313,775.64 = 138,387.60 : x
  2. Step 2: Convert to fraction form
    209,595.60/313,775.64 = 138,387.60/x
  3. Step 3: Cross multiply
    209,595.60x = 313,775.64 × 138,387.60
  4. Step 4: Simplify right side
    209,595.60x = 43,422,657,758.06
  5. Step 5: Solve for x
    x = 43,422,657,758.06/209,595.60
  6. Step 6: Final answer
    x = 207,173.52

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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.