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Finding the Fourth Proportional to 476,548.65, 657,641.70 and 261,693.21

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Solution

The fourth proportional to 476,548.65, 657,641.70 and 261,693.21 is: 361,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,548.65 : 657,641.70 = 261,693.21 : x
  2. Step 2: Convert to fraction form
    476,548.65/657,641.70 = 261,693.21/x
  3. Step 3: Cross multiply
    476,548.65x = 657,641.70 × 261,693.21
  4. Step 4: Simplify right side
    476,548.65x = 172,100,367,502.86
  5. Step 5: Solve for x
    x = 172,100,367,502.86/476,548.65
  6. Step 6: Final answer
    x = 361,139.14

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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.