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Finding the Fourth Proportional to 380,429.42, 524,986.11 and 210,659.90

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Solution

The fourth proportional to 380,429.42, 524,986.11 and 210,659.90 is: 290,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,429.42 : 524,986.11 = 210,659.90 : x
  2. Step 2: Convert to fraction form
    380,429.42/524,986.11 = 210,659.90/x
  3. Step 3: Cross multiply
    380,429.42x = 524,986.11 × 210,659.90
  4. Step 4: Simplify right side
    380,429.42x = 110,593,518,809.06
  5. Step 5: Solve for x
    x = 110,593,518,809.06/380,429.42
  6. Step 6: Final answer
    x = 290,707.07

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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.