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Finding the Fourth Proportional to 258,671.52, 356,963.04 and 145,494

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Solution

The fourth proportional to 258,671.52, 356,963.04 and 145,494 is: 200,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,671.52 : 356,963.04 = 145,494 : x
  2. Step 2: Convert to fraction form
    258,671.52/356,963.04 = 145,494/x
  3. Step 3: Cross multiply
    258,671.52x = 356,963.04 × 145,494
  4. Step 4: Simplify right side
    258,671.52x = 51,935,980,541.76
  5. Step 5: Solve for x
    x = 51,935,980,541.76/258,671.52
  6. Step 6: Final answer
    x = 200,779.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.