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Finding the Fourth Proportional to 306,727.60, 460,091.40 and 156,918.10

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Solution

The fourth proportional to 306,727.60, 460,091.40 and 156,918.10 is: 235,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,727.60 : 460,091.40 = 156,918.10 : x
  2. Step 2: Convert to fraction form
    306,727.60/460,091.40 = 156,918.10/x
  3. Step 3: Cross multiply
    306,727.60x = 460,091.40 × 156,918.10
  4. Step 4: Simplify right side
    306,727.60x = 72,196,668,314.34
  5. Step 5: Solve for x
    x = 72,196,668,314.34/306,727.60
  6. Step 6: Final answer
    x = 235,377.15

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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.