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Finding the Fourth Proportional to 346,930.26, 520,471.95 and 147,421.20

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Solution

The fourth proportional to 346,930.26, 520,471.95 and 147,421.20 is: 221,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,930.26 : 520,471.95 = 147,421.20 : x
  2. Step 2: Convert to fraction form
    346,930.26/520,471.95 = 147,421.20/x
  3. Step 3: Cross multiply
    346,930.26x = 520,471.95 × 147,421.20
  4. Step 4: Simplify right side
    346,930.26x = 76,728,599,435.34
  5. Step 5: Solve for x
    x = 76,728,599,435.34/346,930.26
  6. Step 6: Final answer
    x = 221,164.33

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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.