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Finding the Fourth Proportional to 380,376, 524,935.35 and 210,610.13

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Solution

The fourth proportional to 380,376, 524,935.35 and 210,610.13 is: 290,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,376 : 524,935.35 = 210,610.13 : x
  2. Step 2: Convert to fraction form
    380,376/524,935.35 = 210,610.13/x
  3. Step 3: Cross multiply
    380,376x = 524,935.35 × 210,610.13
  4. Step 4: Simplify right side
    380,376x = 110,556,699,680.42
  5. Step 5: Solve for x
    x = 110,556,699,680.42/380,376
  6. Step 6: Final answer
    x = 290,651.09

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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.