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Finding the Fourth Proportional to 310,311.76, 464,911.08 and 188,510.80

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Solution

The fourth proportional to 310,311.76, 464,911.08 and 188,510.80 is: 282,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,311.76 : 464,911.08 = 188,510.80 : x
  2. Step 2: Convert to fraction form
    310,311.76/464,911.08 = 188,510.80/x
  3. Step 3: Cross multiply
    310,311.76x = 464,911.08 × 188,510.80
  4. Step 4: Simplify right side
    310,311.76x = 87,640,759,619.66
  5. Step 5: Solve for x
    x = 87,640,759,619.66/310,311.76
  6. Step 6: Final answer
    x = 282,428.10

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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.