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Finding the Fourth Proportional to 380,077.92, 524,485.80 and 210,301.92

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Solution

The fourth proportional to 380,077.92, 524,485.80 and 210,301.92 is: 290,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,077.92 : 524,485.80 = 210,301.92 : x
  2. Step 2: Convert to fraction form
    380,077.92/524,485.80 = 210,301.92/x
  3. Step 3: Cross multiply
    380,077.92x = 524,485.80 × 210,301.92
  4. Step 4: Simplify right side
    380,077.92x = 110,300,370,752.74
  5. Step 5: Solve for x
    x = 110,300,370,752.74/380,077.92
  6. Step 6: Final answer
    x = 290,204.63

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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.