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Finding the Fourth Proportional to 209,947.60, 314,921.40 and 202,074.40

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Solution

The fourth proportional to 209,947.60, 314,921.40 and 202,074.40 is: 303,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,947.60 : 314,921.40 = 202,074.40 : x
  2. Step 2: Convert to fraction form
    209,947.60/314,921.40 = 202,074.40/x
  3. Step 3: Cross multiply
    209,947.60x = 314,921.40 × 202,074.40
  4. Step 4: Simplify right side
    209,947.60x = 63,637,552,952.16
  5. Step 5: Solve for x
    x = 63,637,552,952.16/209,947.60
  6. Step 6: Final answer
    x = 303,111.60

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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.