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Finding the Fourth Proportional to 438,437.90, 657,462.45 and 201,658.70

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Solution

The fourth proportional to 438,437.90, 657,462.45 and 201,658.70 is: 302,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,437.90 : 657,462.45 = 201,658.70 : x
  2. Step 2: Convert to fraction form
    438,437.90/657,462.45 = 201,658.70/x
  3. Step 3: Cross multiply
    438,437.90x = 657,462.45 × 201,658.70
  4. Step 4: Simplify right side
    438,437.90x = 132,583,022,965.82
  5. Step 5: Solve for x
    x = 132,583,022,965.82/438,437.90
  6. Step 6: Final answer
    x = 302,398.64

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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.