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Finding the Fourth Proportional to 380,403.92, 524,951 and 210,634.40

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Solution

The fourth proportional to 380,403.92, 524,951 and 210,634.40 is: 290,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,403.92 : 524,951 = 210,634.40 : x
  2. Step 2: Convert to fraction form
    380,403.92/524,951 = 210,634.40/x
  3. Step 3: Cross multiply
    380,403.92x = 524,951 × 210,634.40
  4. Step 4: Simplify right side
    380,403.92x = 110,572,738,914.40
  5. Step 5: Solve for x
    x = 110,572,738,914.40/380,403.92
  6. Step 6: Final answer
    x = 290,671.92

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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.