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Finding the Fourth Proportional to 380,182.63, 524,668.58 and 210,416.71

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Solution

The fourth proportional to 380,182.63, 524,668.58 and 210,416.71 is: 290,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,182.63 : 524,668.58 = 210,416.71 : x
  2. Step 2: Convert to fraction form
    380,182.63/524,668.58 = 210,416.71/x
  3. Step 3: Cross multiply
    380,182.63x = 524,668.58 × 210,416.71
  4. Step 4: Simplify right side
    380,182.63x = 110,399,036,443.97
  5. Step 5: Solve for x
    x = 110,399,036,443.97/380,182.63
  6. Step 6: Final answer
    x = 290,384.22

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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.