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Finding the Fourth Proportional to 511,306, 767,071.50 and 151,448.92

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Solution

The fourth proportional to 511,306, 767,071.50 and 151,448.92 is: 227,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,306 : 767,071.50 = 151,448.92 : x
  2. Step 2: Convert to fraction form
    511,306/767,071.50 = 151,448.92/x
  3. Step 3: Cross multiply
    511,306x = 767,071.50 × 151,448.92
  4. Step 4: Simplify right side
    511,306x = 116,172,150,237.78
  5. Step 5: Solve for x
    x = 116,172,150,237.78/511,306
  6. Step 6: Final answer
    x = 227,206.70

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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.