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Finding the Fourth Proportional to 213,130.40, 319,234.80 and 189,783.20

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Solution

The fourth proportional to 213,130.40, 319,234.80 and 189,783.20 is: 284,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,130.40 : 319,234.80 = 189,783.20 : x
  2. Step 2: Convert to fraction form
    213,130.40/319,234.80 = 189,783.20/x
  3. Step 3: Cross multiply
    213,130.40x = 319,234.80 × 189,783.20
  4. Step 4: Simplify right side
    213,130.40x = 60,585,401,895.36
  5. Step 5: Solve for x
    x = 60,585,401,895.36/213,130.40
  6. Step 6: Final answer
    x = 284,264.48

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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.