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Finding the Fourth Proportional to 380,394.42, 524,937.88 and 210,624.90

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Solution

The fourth proportional to 380,394.42, 524,937.88 and 210,624.90 is: 290,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,394.42 : 524,937.88 = 210,624.90 : x
  2. Step 2: Convert to fraction form
    380,394.42/524,937.88 = 210,624.90/x
  3. Step 3: Cross multiply
    380,394.42x = 524,937.88 × 210,624.90
  4. Step 4: Simplify right side
    380,394.42x = 110,564,988,481.21
  5. Step 5: Solve for x
    x = 110,564,988,481.21/380,394.42
  6. Step 6: Final answer
    x = 290,658.81

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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.