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Finding the Fourth Proportional to 312,006.30, 468,009.45 and 154,202.10

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Solution

The fourth proportional to 312,006.30, 468,009.45 and 154,202.10 is: 231,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006.30 : 468,009.45 = 154,202.10 : x
  2. Step 2: Convert to fraction form
    312,006.30/468,009.45 = 154,202.10/x
  3. Step 3: Cross multiply
    312,006.30x = 468,009.45 × 154,202.10
  4. Step 4: Simplify right side
    312,006.30x = 72,168,040,009.85
  5. Step 5: Solve for x
    x = 72,168,040,009.85/312,006.30
  6. Step 6: Final answer
    x = 231,303.15

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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.