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Finding the Fourth Proportional to 380,507.79, 525,080.44 and 208,416.86

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Solution

The fourth proportional to 380,507.79, 525,080.44 and 208,416.86 is: 287,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,507.79 : 525,080.44 = 208,416.86 : x
  2. Step 2: Convert to fraction form
    380,507.79/525,080.44 = 208,416.86/x
  3. Step 3: Cross multiply
    380,507.79x = 525,080.44 × 208,416.86
  4. Step 4: Simplify right side
    380,507.79x = 109,435,616,552.22
  5. Step 5: Solve for x
    x = 109,435,616,552.22/380,507.79
  6. Step 6: Final answer
    x = 287,604.14

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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.