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Finding the Fourth Proportional to 384,142.15, 576,208.59 and 99,807.54

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Solution

The fourth proportional to 384,142.15, 576,208.59 and 99,807.54 is: 149,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,142.15 : 576,208.59 = 99,807.54 : x
  2. Step 2: Convert to fraction form
    384,142.15/576,208.59 = 99,807.54/x
  3. Step 3: Cross multiply
    384,142.15x = 576,208.59 × 99,807.54
  4. Step 4: Simplify right side
    384,142.15x = 57,509,961,894.77
  5. Step 5: Solve for x
    x = 57,509,961,894.77/384,142.15
  6. Step 6: Final answer
    x = 149,710.11

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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.