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Finding the Fourth Proportional to 302,733.56, 454,502.42 and 258,643.64

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Solution

The fourth proportional to 302,733.56, 454,502.42 and 258,643.64 is: 388,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,733.56 : 454,502.42 = 258,643.64 : x
  2. Step 2: Convert to fraction form
    302,733.56/454,502.42 = 258,643.64/x
  3. Step 3: Cross multiply
    302,733.56x = 454,502.42 × 258,643.64
  4. Step 4: Simplify right side
    302,733.56x = 117,554,160,297.61
  5. Step 5: Solve for x
    x = 117,554,160,297.61/302,733.56
  6. Step 6: Final answer
    x = 388,308.98

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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.