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Finding the Fourth Proportional to 476,564.23, 657,658.63 and 261,707.88

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Solution

The fourth proportional to 476,564.23, 657,658.63 and 261,707.88 is: 361,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,564.23 : 657,658.63 = 261,707.88 : x
  2. Step 2: Convert to fraction form
    476,564.23/657,658.63 = 261,707.88/x
  3. Step 3: Cross multiply
    476,564.23x = 657,658.63 × 261,707.88
  4. Step 4: Simplify right side
    476,564.23x = 172,114,445,821.00
  5. Step 5: Solve for x
    x = 172,114,445,821.00/476,564.23
  6. Step 6: Final answer
    x = 361,156.87

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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.