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Finding the Fourth Proportional to 476,668.08, 657,810.12 and 261,817.20

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Solution

The fourth proportional to 476,668.08, 657,810.12 and 261,817.20 is: 361,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,668.08 : 657,810.12 = 261,817.20 : x
  2. Step 2: Convert to fraction form
    476,668.08/657,810.12 = 261,817.20/x
  3. Step 3: Cross multiply
    476,668.08x = 657,810.12 × 261,817.20
  4. Step 4: Simplify right side
    476,668.08x = 172,226,003,750.06
  5. Step 5: Solve for x
    x = 172,226,003,750.06/476,668.08
  6. Step 6: Final answer
    x = 361,312.22

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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.