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Finding the Fourth Proportional to 476,071.53, 657,021.30 and 261,253.47

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Solution

The fourth proportional to 476,071.53, 657,021.30 and 261,253.47 is: 360,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,071.53 : 657,021.30 = 261,253.47 : x
  2. Step 2: Convert to fraction form
    476,071.53/657,021.30 = 261,253.47/x
  3. Step 3: Cross multiply
    476,071.53x = 657,021.30 × 261,253.47
  4. Step 4: Simplify right side
    476,071.53x = 171,649,094,488.91
  5. Step 5: Solve for x
    x = 171,649,094,488.91/476,071.53
  6. Step 6: Final answer
    x = 360,553.16

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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.