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Finding the Fourth Proportional to 301,240, 415,711.20 and 167,129.92

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Solution

The fourth proportional to 301,240, 415,711.20 and 167,129.92 is: 230,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,240 : 415,711.20 = 167,129.92 : x
  2. Step 2: Convert to fraction form
    301,240/415,711.20 = 167,129.92/x
  3. Step 3: Cross multiply
    301,240x = 415,711.20 × 167,129.92
  4. Step 4: Simplify right side
    301,240x = 69,477,779,599.10
  5. Step 5: Solve for x
    x = 69,477,779,599.10/301,240
  6. Step 6: Final answer
    x = 230,639.29

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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.