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Finding the Fourth Proportional to 310,011.14, 427,800.78 and 172,199

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Solution

The fourth proportional to 310,011.14, 427,800.78 and 172,199 is: 237,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,011.14 : 427,800.78 = 172,199 : x
  2. Step 2: Convert to fraction form
    310,011.14/427,800.78 = 172,199/x
  3. Step 3: Cross multiply
    310,011.14x = 427,800.78 × 172,199
  4. Step 4: Simplify right side
    310,011.14x = 73,666,866,515.22
  5. Step 5: Solve for x
    x = 73,666,866,515.22/310,011.14
  6. Step 6: Final answer
    x = 237,626.51

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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.