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Finding the Fourth Proportional to 312,121.80, 468,182.70 and 217,643.40

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Solution

The fourth proportional to 312,121.80, 468,182.70 and 217,643.40 is: 326,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,121.80 : 468,182.70 = 217,643.40 : x
  2. Step 2: Convert to fraction form
    312,121.80/468,182.70 = 217,643.40/x
  3. Step 3: Cross multiply
    312,121.80x = 468,182.70 × 217,643.40
  4. Step 4: Simplify right side
    312,121.80x = 101,896,874,649.18
  5. Step 5: Solve for x
    x = 101,896,874,649.18/312,121.80
  6. Step 6: Final answer
    x = 326,465.10

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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.