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Finding the Fourth Proportional to 438,451.90, 657,483.45 and 201,672.70

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Solution

The fourth proportional to 438,451.90, 657,483.45 and 201,672.70 is: 302,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,451.90 : 657,483.45 = 201,672.70 : x
  2. Step 2: Convert to fraction form
    438,451.90/657,483.45 = 201,672.70/x
  3. Step 3: Cross multiply
    438,451.90x = 657,483.45 × 201,672.70
  4. Step 4: Simplify right side
    438,451.90x = 132,596,462,566.82
  5. Step 5: Solve for x
    x = 132,596,462,566.82/438,451.90
  6. Step 6: Final answer
    x = 302,419.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.