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Finding the Fourth Proportional to 224,430.80, 309,434.37 and 143,725.64

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Solution

The fourth proportional to 224,430.80, 309,434.37 and 143,725.64 is: 198,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430.80 : 309,434.37 = 143,725.64 : x
  2. Step 2: Convert to fraction form
    224,430.80/309,434.37 = 143,725.64/x
  3. Step 3: Cross multiply
    224,430.80x = 309,434.37 × 143,725.64
  4. Step 4: Simplify right side
    224,430.80x = 44,473,653,639.83
  5. Step 5: Solve for x
    x = 44,473,653,639.83/224,430.80
  6. Step 6: Final answer
    x = 198,161.99

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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.