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Finding the Fourth Proportional to 301,039.02, 415,430.10 and 173,711.88

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Solution

The fourth proportional to 301,039.02, 415,430.10 and 173,711.88 is: 239,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,039.02 : 415,430.10 = 173,711.88 : x
  2. Step 2: Convert to fraction form
    301,039.02/415,430.10 = 173,711.88/x
  3. Step 3: Cross multiply
    301,039.02x = 415,430.10 × 173,711.88
  4. Step 4: Simplify right side
    301,039.02x = 72,165,143,679.59
  5. Step 5: Solve for x
    x = 72,165,143,679.59/301,039.02
  6. Step 6: Final answer
    x = 239,720.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.