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Finding the Fourth Proportional to 384,138.35, 576,207.53 and 103,655.15

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Solution

The fourth proportional to 384,138.35, 576,207.53 and 103,655.15 is: 155,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,138.35 : 576,207.53 = 103,655.15 : x
  2. Step 2: Convert to fraction form
    384,138.35/576,207.53 = 103,655.15/x
  3. Step 3: Cross multiply
    384,138.35x = 576,207.53 × 103,655.15
  4. Step 4: Simplify right side
    384,138.35x = 59,726,877,953.28
  5. Step 5: Solve for x
    x = 59,726,877,953.28/384,138.35
  6. Step 6: Final answer
    x = 155,482.73

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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.