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Finding the Fourth Proportional to 380,465.96, 525,042 and 219,320.12

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Solution

The fourth proportional to 380,465.96, 525,042 and 219,320.12 is: 302,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,465.96 : 525,042 = 219,320.12 : x
  2. Step 2: Convert to fraction form
    380,465.96/525,042 = 219,320.12/x
  3. Step 3: Cross multiply
    380,465.96x = 525,042 × 219,320.12
  4. Step 4: Simplify right side
    380,465.96x = 115,152,274,445.04
  5. Step 5: Solve for x
    x = 115,152,274,445.04/380,465.96
  6. Step 6: Final answer
    x = 302,661.17

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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.