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Finding the Fourth Proportional to 464,271.82, 640,459.31 and 303,221.14

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Solution

The fourth proportional to 464,271.82, 640,459.31 and 303,221.14 is: 418,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,271.82 : 640,459.31 = 303,221.14 : x
  2. Step 2: Convert to fraction form
    464,271.82/640,459.31 = 303,221.14/x
  3. Step 3: Cross multiply
    464,271.82x = 640,459.31 × 303,221.14
  4. Step 4: Simplify right side
    464,271.82x = 194,200,798,141.46
  5. Step 5: Solve for x
    x = 194,200,798,141.46/464,271.82
  6. Step 6: Final answer
    x = 418,291.16

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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.