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Finding the Fourth Proportional to 213,127.40, 319,230.30 and 189,780.20

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Solution

The fourth proportional to 213,127.40, 319,230.30 and 189,780.20 is: 284,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,127.40 : 319,230.30 = 189,780.20 : x
  2. Step 2: Convert to fraction form
    213,127.40/319,230.30 = 189,780.20/x
  3. Step 3: Cross multiply
    213,127.40x = 319,230.30 × 189,780.20
  4. Step 4: Simplify right side
    213,127.40x = 60,583,590,180.06
  5. Step 5: Solve for x
    x = 60,583,590,180.06/213,127.40
  6. Step 6: Final answer
    x = 284,259.98

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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.