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Finding the Fourth Proportional to 224,312.57, 309,579.21 and 128,817.21

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Solution

The fourth proportional to 224,312.57, 309,579.21 and 128,817.21 is: 177,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,312.57 : 309,579.21 = 128,817.21 : x
  2. Step 2: Convert to fraction form
    224,312.57/309,579.21 = 128,817.21/x
  3. Step 3: Cross multiply
    224,312.57x = 309,579.21 × 128,817.21
  4. Step 4: Simplify right side
    224,312.57x = 39,879,130,106.20
  5. Step 5: Solve for x
    x = 39,879,130,106.20/224,312.57
  6. Step 6: Final answer
    x = 177,783.76

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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.