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Finding the Fourth Proportional to 386,036.88, 578,913 and 133,253.04

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Solution

The fourth proportional to 386,036.88, 578,913 and 133,253.04 is: 199,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,036.88 : 578,913 = 133,253.04 : x
  2. Step 2: Convert to fraction form
    386,036.88/578,913 = 133,253.04/x
  3. Step 3: Cross multiply
    386,036.88x = 578,913 × 133,253.04
  4. Step 4: Simplify right side
    386,036.88x = 77,141,917,145.52
  5. Step 5: Solve for x
    x = 77,141,917,145.52/386,036.88
  6. Step 6: Final answer
    x = 199,830.43

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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.