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Finding the Fourth Proportional to 209,963.60, 314,947.80 and 52,192.40

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Solution

The fourth proportional to 209,963.60, 314,947.80 and 52,192.40 is: 78,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.60 : 314,947.80 = 52,192.40 : x
  2. Step 2: Convert to fraction form
    209,963.60/314,947.80 = 52,192.40/x
  3. Step 3: Cross multiply
    209,963.60x = 314,947.80 × 52,192.40
  4. Step 4: Simplify right side
    209,963.60x = 16,437,881,556.72
  5. Step 5: Solve for x
    x = 16,437,881,556.72/209,963.60
  6. Step 6: Final answer
    x = 78,289.20

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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.