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Finding the Fourth Proportional to 658,411.08, 987,682.41 and 178,646.51

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Solution

The fourth proportional to 658,411.08, 987,682.41 and 178,646.51 is: 267,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,411.08 : 987,682.41 = 178,646.51 : x
  2. Step 2: Convert to fraction form
    658,411.08/987,682.41 = 178,646.51/x
  3. Step 3: Cross multiply
    658,411.08x = 987,682.41 × 178,646.51
  4. Step 4: Simplify right side
    658,411.08x = 176,446,018,004.10
  5. Step 5: Solve for x
    x = 176,446,018,004.10/658,411.08
  6. Step 6: Final answer
    x = 267,987.62

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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.