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Finding the Fourth Proportional to 380,398.55, 524,965.82 and 210,632.67

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Solution

The fourth proportional to 380,398.55, 524,965.82 and 210,632.67 is: 290,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,398.55 : 524,965.82 = 210,632.67 : x
  2. Step 2: Convert to fraction form
    380,398.55/524,965.82 = 210,632.67/x
  3. Step 3: Cross multiply
    380,398.55x = 524,965.82 × 210,632.67
  4. Step 4: Simplify right side
    380,398.55x = 110,574,951,272.18
  5. Step 5: Solve for x
    x = 110,574,951,272.18/380,398.55
  6. Step 6: Final answer
    x = 290,681.85

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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.