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Finding the Fourth Proportional to 304,438.96, 420,117.19 and 168,478.57

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Solution

The fourth proportional to 304,438.96, 420,117.19 and 168,478.57 is: 232,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,438.96 : 420,117.19 = 168,478.57 : x
  2. Step 2: Convert to fraction form
    304,438.96/420,117.19 = 168,478.57/x
  3. Step 3: Cross multiply
    304,438.96x = 420,117.19 × 168,478.57
  4. Step 4: Simplify right side
    304,438.96x = 70,780,743,403.62
  5. Step 5: Solve for x
    x = 70,780,743,403.62/304,438.96
  6. Step 6: Final answer
    x = 232,495.68

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1.5x scale

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.