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Finding the Fourth Proportional to 380,259.92, 524,814.92 and 219,084.24

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Solution

The fourth proportional to 380,259.92, 524,814.92 and 219,084.24 is: 302,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,259.92 : 524,814.92 = 219,084.24 : x
  2. Step 2: Convert to fraction form
    380,259.92/524,814.92 = 219,084.24/x
  3. Step 3: Cross multiply
    380,259.92x = 524,814.92 × 219,084.24
  4. Step 4: Simplify right side
    380,259.92x = 114,978,677,888.86
  5. Step 5: Solve for x
    x = 114,978,677,888.86/380,259.92
  6. Step 6: Final answer
    x = 302,368.65

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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.