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Finding the Fourth Proportional to 291,145.76, 436,018.80 and 166,107.68

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Solution

The fourth proportional to 291,145.76, 436,018.80 and 166,107.68 is: 248,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,145.76 : 436,018.80 = 166,107.68 : x
  2. Step 2: Convert to fraction form
    291,145.76/436,018.80 = 166,107.68/x
  3. Step 3: Cross multiply
    291,145.76x = 436,018.80 × 166,107.68
  4. Step 4: Simplify right side
    291,145.76x = 72,426,071,304.38
  5. Step 5: Solve for x
    x = 72,426,071,304.38/291,145.76
  6. Step 6: Final answer
    x = 248,762.24

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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.