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Finding the Fourth Proportional to 312,055.28, 430,635.90 and 168,815

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Solution

The fourth proportional to 312,055.28, 430,635.90 and 168,815 is: 232,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,055.28 : 430,635.90 = 168,815 : x
  2. Step 2: Convert to fraction form
    312,055.28/430,635.90 = 168,815/x
  3. Step 3: Cross multiply
    312,055.28x = 430,635.90 × 168,815
  4. Step 4: Simplify right side
    312,055.28x = 72,697,799,458.50
  5. Step 5: Solve for x
    x = 72,697,799,458.50/312,055.28
  6. Step 6: Final answer
    x = 232,964.49

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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.