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Finding the Fourth Proportional to 224,315.58, 309,574.11 and 128,840.70

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Solution

The fourth proportional to 224,315.58, 309,574.11 and 128,840.70 is: 177,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,315.58 : 309,574.11 = 128,840.70 : x
  2. Step 2: Convert to fraction form
    224,315.58/309,574.11 = 128,840.70/x
  3. Step 3: Cross multiply
    224,315.58x = 309,574.11 × 128,840.70
  4. Step 4: Simplify right side
    224,315.58x = 39,885,745,034.28
  5. Step 5: Solve for x
    x = 39,885,745,034.28/224,315.58
  6. Step 6: Final answer
    x = 177,810.85

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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.