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Finding the Fourth Proportional to 508,015.20, 762,479.64 and 271,560

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Solution

The fourth proportional to 508,015.20, 762,479.64 and 271,560 is: 407,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,015.20 : 762,479.64 = 271,560 : x
  2. Step 2: Convert to fraction form
    508,015.20/762,479.64 = 271,560/x
  3. Step 3: Cross multiply
    508,015.20x = 762,479.64 × 271,560
  4. Step 4: Simplify right side
    508,015.20x = 207,058,971,038.40
  5. Step 5: Solve for x
    x = 207,058,971,038.40/508,015.20
  6. Step 6: Final answer
    x = 407,584.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.