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Finding the Fourth Proportional to 312,088.40, 468,132.60 and 194,123.60

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Solution

The fourth proportional to 312,088.40, 468,132.60 and 194,123.60 is: 291,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,088.40 : 468,132.60 = 194,123.60 : x
  2. Step 2: Convert to fraction form
    312,088.40/468,132.60 = 194,123.60/x
  3. Step 3: Cross multiply
    312,088.40x = 468,132.60 × 194,123.60
  4. Step 4: Simplify right side
    312,088.40x = 90,875,585,589.36
  5. Step 5: Solve for x
    x = 90,875,585,589.36/312,088.40
  6. Step 6: Final answer
    x = 291,185.40

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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.