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Finding the Fourth Proportional to 209,965.60, 314,950.80 and 52,194.40

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Solution

The fourth proportional to 209,965.60, 314,950.80 and 52,194.40 is: 78,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,965.60 : 314,950.80 = 52,194.40 : x
  2. Step 2: Convert to fraction form
    209,965.60/314,950.80 = 52,194.40/x
  3. Step 3: Cross multiply
    209,965.60x = 314,950.80 × 52,194.40
  4. Step 4: Simplify right side
    209,965.60x = 16,438,668,035.52
  5. Step 5: Solve for x
    x = 16,438,668,035.52/209,965.60
  6. Step 6: Final answer
    x = 78,292.20

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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.