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Finding the Fourth Proportional to 380,259.70, 524,966.25 and 259,580.86

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Solution

The fourth proportional to 380,259.70, 524,966.25 and 259,580.86 is: 358,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,259.70 : 524,966.25 = 259,580.86 : x
  2. Step 2: Convert to fraction form
    380,259.70/524,966.25 = 259,580.86/x
  3. Step 3: Cross multiply
    380,259.70x = 524,966.25 × 259,580.86
  4. Step 4: Simplify right side
    380,259.70x = 136,271,190,645.98
  5. Step 5: Solve for x
    x = 136,271,190,645.98/380,259.70
  6. Step 6: Final answer
    x = 358,363.48

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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.