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Finding the Fourth Proportional to 209,298.90, 313,948.26 and 61,554.90

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Solution

The fourth proportional to 209,298.90, 313,948.26 and 61,554.90 is: 92,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,298.90 : 313,948.26 = 61,554.90 : x
  2. Step 2: Convert to fraction form
    209,298.90/313,948.26 = 61,554.90/x
  3. Step 3: Cross multiply
    209,298.90x = 313,948.26 × 61,554.90
  4. Step 4: Simplify right side
    209,298.90x = 19,325,053,749.47
  5. Step 5: Solve for x
    x = 19,325,053,749.47/209,298.90
  6. Step 6: Final answer
    x = 92,332.32

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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.