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Finding the Fourth Proportional to 212,666.40, 319,345.20 and 153,914.40

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Solution

The fourth proportional to 212,666.40, 319,345.20 and 153,914.40 is: 231,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,666.40 : 319,345.20 = 153,914.40 : x
  2. Step 2: Convert to fraction form
    212,666.40/319,345.20 = 153,914.40/x
  3. Step 3: Cross multiply
    212,666.40x = 319,345.20 × 153,914.40
  4. Step 4: Simplify right side
    212,666.40x = 49,151,824,850.88
  5. Step 5: Solve for x
    x = 49,151,824,850.88/212,666.40
  6. Step 6: Final answer
    x = 231,121.72

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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.