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Finding the Fourth Proportional to 312,258.40, 430,931.82 and 191,406.40

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Solution

The fourth proportional to 312,258.40, 430,931.82 and 191,406.40 is: 264,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,258.40 : 430,931.82 = 191,406.40 : x
  2. Step 2: Convert to fraction form
    312,258.40/430,931.82 = 191,406.40/x
  3. Step 3: Cross multiply
    312,258.40x = 430,931.82 × 191,406.40
  4. Step 4: Simplify right side
    312,258.40x = 82,483,108,311.65
  5. Step 5: Solve for x
    x = 82,483,108,311.65/312,258.40
  6. Step 6: Final answer
    x = 264,150.17

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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.