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Finding the Fourth Proportional to 306,491.13, 460,014.80 and 156,834.81

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Solution

The fourth proportional to 306,491.13, 460,014.80 and 156,834.81 is: 235,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,491.13 : 460,014.80 = 156,834.81 : x
  2. Step 2: Convert to fraction form
    306,491.13/460,014.80 = 156,834.81/x
  3. Step 3: Cross multiply
    306,491.13x = 460,014.80 × 156,834.81
  4. Step 4: Simplify right side
    306,491.13x = 72,146,332,971.01
  5. Step 5: Solve for x
    x = 72,146,332,971.01/306,491.13
  6. Step 6: Final answer
    x = 235,394.52

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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.