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Finding the Fourth Proportional to 306,494.38, 460,019.67 and 156,838.06

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Solution

The fourth proportional to 306,494.38, 460,019.67 and 156,838.06 is: 235,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,494.38 : 460,019.67 = 156,838.06 : x
  2. Step 2: Convert to fraction form
    306,494.38/460,019.67 = 156,838.06/x
  3. Step 3: Cross multiply
    306,494.38x = 460,019.67 × 156,838.06
  4. Step 4: Simplify right side
    306,494.38x = 72,148,592,604.64
  5. Step 5: Solve for x
    x = 72,148,592,604.64/306,494.38
  6. Step 6: Final answer
    x = 235,399.40

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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.