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Finding the Fourth Proportional to 302,732.56, 454,500.92 and 258,642.64

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Solution

The fourth proportional to 302,732.56, 454,500.92 and 258,642.64 is: 388,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,732.56 : 454,500.92 = 258,642.64 : x
  2. Step 2: Convert to fraction form
    302,732.56/454,500.92 = 258,642.64/x
  3. Step 3: Cross multiply
    302,732.56x = 454,500.92 × 258,642.64
  4. Step 4: Simplify right side
    302,732.56x = 117,553,317,831.23
  5. Step 5: Solve for x
    x = 117,553,317,831.23/302,732.56
  6. Step 6: Final answer
    x = 388,307.48

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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.