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Finding the Fourth Proportional to 384,083.10, 576,124.65 and 215,430.30

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Solution

The fourth proportional to 384,083.10, 576,124.65 and 215,430.30 is: 323,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,083.10 : 576,124.65 = 215,430.30 : x
  2. Step 2: Convert to fraction form
    384,083.10/576,124.65 = 215,430.30/x
  3. Step 3: Cross multiply
    384,083.10x = 576,124.65 × 215,430.30
  4. Step 4: Simplify right side
    384,083.10x = 124,114,706,186.90
  5. Step 5: Solve for x
    x = 124,114,706,186.90/384,083.10
  6. Step 6: Final answer
    x = 323,145.45

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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.