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Finding the Fourth Proportional to 451,457.82, 623,032.02 and 257,882.40

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Solution

The fourth proportional to 451,457.82, 623,032.02 and 257,882.40 is: 355,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,457.82 : 623,032.02 = 257,882.40 : x
  2. Step 2: Convert to fraction form
    451,457.82/623,032.02 = 257,882.40/x
  3. Step 3: Cross multiply
    451,457.82x = 623,032.02 × 257,882.40
  4. Step 4: Simplify right side
    451,457.82x = 160,668,992,594.45
  5. Step 5: Solve for x
    x = 160,668,992,594.45/451,457.82
  6. Step 6: Final answer
    x = 355,889.27

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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.