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Finding the Fourth Proportional to 213,340.76, 319,316.70 and 157,158.80

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Solution

The fourth proportional to 213,340.76, 319,316.70 and 157,158.80 is: 235,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,340.76 : 319,316.70 = 157,158.80 : x
  2. Step 2: Convert to fraction form
    213,340.76/319,316.70 = 157,158.80/x
  3. Step 3: Cross multiply
    213,340.76x = 319,316.70 × 157,158.80
  4. Step 4: Simplify right side
    213,340.76x = 50,183,429,391.96
  5. Step 5: Solve for x
    x = 50,183,429,391.96/213,340.76
  6. Step 6: Final answer
    x = 235,226.64

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1.5x scale

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.