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Finding the Fourth Proportional to 286,158.71, 428,665.79 and 172,243.95

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Solution

The fourth proportional to 286,158.71, 428,665.79 and 172,243.95 is: 258,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,158.71 : 428,665.79 = 172,243.95 : x
  2. Step 2: Convert to fraction form
    286,158.71/428,665.79 = 172,243.95/x
  3. Step 3: Cross multiply
    286,158.71x = 428,665.79 × 172,243.95
  4. Step 4: Simplify right side
    286,158.71x = 73,835,088,038.25
  5. Step 5: Solve for x
    x = 73,835,088,038.25/286,158.71
  6. Step 6: Final answer
    x = 258,021.46

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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.