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Finding the Fourth Proportional to 209,612.80, 314,419.20 and 203,780.80

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Solution

The fourth proportional to 209,612.80, 314,419.20 and 203,780.80 is: 305,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,612.80 : 314,419.20 = 203,780.80 : x
  2. Step 2: Convert to fraction form
    209,612.80/314,419.20 = 203,780.80/x
  3. Step 3: Cross multiply
    209,612.80x = 314,419.20 × 203,780.80
  4. Step 4: Simplify right side
    209,612.80x = 64,072,596,111.36
  5. Step 5: Solve for x
    x = 64,072,596,111.36/209,612.80
  6. Step 6: Final answer
    x = 305,671.20

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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.