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Finding the Fourth Proportional to 291,007.88, 435,666.62 and 178,347.30

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Solution

The fourth proportional to 291,007.88, 435,666.62 and 178,347.30 is: 267,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,007.88 : 435,666.62 = 178,347.30 : x
  2. Step 2: Convert to fraction form
    291,007.88/435,666.62 = 178,347.30/x
  3. Step 3: Cross multiply
    291,007.88x = 435,666.62 × 178,347.30
  4. Step 4: Simplify right side
    291,007.88x = 77,699,964,485.39
  5. Step 5: Solve for x
    x = 77,699,964,485.39/291,007.88
  6. Step 6: Final answer
    x = 267,002.96

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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.