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Finding the Fourth Proportional to 286,460.43, 428,878.68 and 238,040.25

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Solution

The fourth proportional to 286,460.43, 428,878.68 and 238,040.25 is: 356,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,460.43 : 428,878.68 = 238,040.25 : x
  2. Step 2: Convert to fraction form
    286,460.43/428,878.68 = 238,040.25/x
  3. Step 3: Cross multiply
    286,460.43x = 428,878.68 × 238,040.25
  4. Step 4: Simplify right side
    286,460.43x = 102,090,386,062.48
  5. Step 5: Solve for x
    x = 102,090,386,062.48/286,460.43
  6. Step 6: Final answer
    x = 356,385.65

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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.