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Finding the Fourth Proportional to 380,319.04, 524,859.60 and 219,200.32

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Solution

The fourth proportional to 380,319.04, 524,859.60 and 219,200.32 is: 302,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,319.04 : 524,859.60 = 219,200.32 : x
  2. Step 2: Convert to fraction form
    380,319.04/524,859.60 = 219,200.32/x
  3. Step 3: Cross multiply
    380,319.04x = 524,859.60 × 219,200.32
  4. Step 4: Simplify right side
    380,319.04x = 115,049,392,275.07
  5. Step 5: Solve for x
    x = 115,049,392,275.07/380,319.04
  6. Step 6: Final answer
    x = 302,507.58

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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.